Search a number
-
+
1029644442504 = 23352918263879
BaseRepresentation
bin11101111101110111001…
…01110101101110001000
310122102200200200010200000
432332323211311232020
5113332202434130004
62105002341443000
7134250356233056
oct16767345655610
93572620603600
101029644442504
11367740499357
12147675a10460
1376130aacc92
1437b995791d6
151bbb4059c39
hexefbb975b88

1029644442504 has 96 divisors (see below), whose sum is σ = 2991623544000. Its totient is φ = 331379802432.

The previous prime is 1029644442493. The next prime is 1029644442511. The reversal of 1029644442504 is 4052444469201.

1029644442504 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 64 + 44 + 42 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1029644442504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9075564 + ... + 9188315.

It is an arithmetic number, because the mean of its divisors is an integer number (31162745250).

Almost surely, 21029644442504 is an apocalyptic number.

It is an amenable number.

1029644442504 is an abundant number, since it is smaller than the sum of its proper divisors (1961979101496).

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

1029644442504 is a wasteful number, since it uses less digits than its factorization.

1029644442504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18263929 (or 18263913 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1029644442504 in words is "one trillion, twenty-nine billion, six hundred forty-four million, four hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 1044 1566 1944 2088 2349 3132 4698 6264 7047 9396 14094 18792 28188 56376 18263879 36527758 54791637 73055516 109583274 146111032 164374911 219166548 328749822 438333096 493124733 529652491 657499644 986249466 1059304982 1314999288 1479374199 1588957473 1972498932 2118609964 2958748398 3177914946 3944997864 4237219928 4438122597 4766872419 5917496796 6355829892 8876245194 9533744838 11834993592 12711659784 14300617257 17752490388 19067489676 28601234514 35504980776 38134979352 42901851771 57202469028 85803703542 114404938056 128705555313 171607407084 257411110626 343214814168 514822221252 1029644442504