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151126313016 = 23377983137191
BaseRepresentation
bin1000110010111111010…
…1001000100000111000
3112110002020211010212110
42030233311020200320
54434001314004031
6153232041212320
713630023315450
oct2145765104070
9473066733773
10151126313016
1159101955858
1225357a910a0
1311335a13b73
1474591bcd60
153de7911c46
hex232fd48838

151126313016 has 128 divisors (see below), whose sum is σ = 442526515200. Its totient is φ = 42118427520.

The previous prime is 151126312979. The next prime is 151126313069. The reversal of 151126313016 is 610313621151.

It is a super-2 number, since 2×1511263130162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032981 + ... + 1170171.

It is an arithmetic number, because the mean of its divisors is an integer number (3457238400).

Almost surely, 2151126313016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151126313016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221263257600).

151126313016 is an abundant number, since it is smaller than the sum of its proper divisors (291400202184).

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

151126313016 is a wasteful number, since it uses less digits than its factorization.

151126313016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137369 (or 137365 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 151126313016 its reverse (610313621151), we get a palindrome (761439934167).

The spelling of 151126313016 in words is "one hundred fifty-one billion, one hundred twenty-six million, three hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 83 84 158 166 168 237 249 316 332 474 498 553 581 632 664 948 996 1106 1162 1659 1743 1896 1992 2212 2324 3318 3486 4424 4648 6557 6636 6972 13114 13272 13944 19671 26228 39342 45899 52456 78684 91798 137191 137697 157368 183596 274382 275394 367192 411573 548764 550788 823146 960337 1097528 1101576 1646292 1920674 2881011 3292584 3841348 5762022 7682696 10838089 11386853 11524044 21676178 22773706 23048088 32514267 34160559 43352356 45547412 65028534 68321118 75866623 79707971 86704712 91094824 130057068 136642236 151733246 159415942 227599869 239123913 260114136 273284472 303466492 318831884 455199738 478247826 606932984 637663768 899561387 910399476 956495652 1799122774 1820798952 1912991304 2698684161 3598245548 5397368322 6296929709 7196491096 10794736644 12593859418 18890789127 21589473288 25187718836 37781578254 50375437672 75563156508 151126313016