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163141290161352 = 233410317231418621
BaseRepresentation
bin100101000110000001001010…
…101001011111010011001000
3210101122011012000100012010000
4211012001022221133103020
5132340401330240130402
61334550023555123000
746235366153116536
oct4506011251372310
9711564160305100
10163141290161352
1147a88918236448
1216369a5bba3460
137005208487ca9
142c4011b14d156
1513cda2cbd2c1c
hex94604aa5f4c8

163141290161352 has 160 divisors (see below), whose sum is σ = 461651148953280. Its totient is φ = 53821171716480.

The previous prime is 163141290161347. The next prime is 163141290161389. The reversal of 163141290161352 is 253161092141361.

163141290161352 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 4 + 1 + 29 + 0 + 1 + 613 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 163141290161298 and 163141290161307.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114290602 + ... + 115709222.

It is an arithmetic number, because the mean of its divisors is an integer number (2885319680958).

Almost surely, 2163141290161352 is an apocalyptic number.

163141290161352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163141290161352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230825574476640).

163141290161352 is an abundant number, since it is smaller than the sum of its proper divisors (298509858791928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163141290161352 is a wasteful number, since it uses less digits than its factorization.

163141290161352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420465 (or 1420452 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 163141290161352 in words is "one hundred sixty-three trillion, one hundred forty-one billion, two hundred ninety million, one hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1723 1854 2472 2781 3446 3708 5169 5562 6892 7416 8343 10338 11124 13784 15507 16686 20676 22248 31014 33372 41352 46521 62028 66744 93042 124056 139563 177469 186084 279126 354938 372168 532407 558252 709876 1064814 1116504 1418621 1419752 1597221 2129628 2837242 3194442 4255863 4259256 4791663 5674484 6388884 8511726 9583326 11348968 12767589 12777768 14374989 17023452 19166652 25535178 28749978 34046904 38302767 38333304 51070356 57499956 76605534 102140712 114908301 114999912 146117963 153211068 229816602 292235926 306422136 438353889 459633204 584471852 876707778 919266408 1168943704 1315061667 1753415556 2444283983 2630123334 3506831112 3945185001 4888567966 5260246668 7332851949 7890370002 9777135932 10520493336 11835555003 14665703898 15780740004 19554271864 21998555847 23671110006 29331407796 31561480008 43997111694 47342220012 58662815592 65995667541 87994223388 94684440024 131991335082 175988446776 197987002623 251761250249 263982670164 395974005246 503522500498 527965340328 755283750747 791948010492 1007045000996 1510567501494 1583896020984 2014090001992 2265851252241 3021135002988 4531702504482 6042270005976 6797553756723 9063405008964 13595107513446 18126810017928 20392661270169 27190215026892 40785322540338 54380430053784 81570645080676 163141290161352