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156935001132 = 2232713274117477
BaseRepresentation
bin1001001000101000001…
…1100001010000101100
3120000002001220001222100
42102022003201100230
510032400330014012
6200032301415100
714223665333310
oct2221203412054
9500061801870
10156935001132
1160612798148
12264b926a490
1311a50278020
14784a82bb40
1541378598dc
hex248a0e142c

156935001132 has 144 divisors (see below), whose sum is σ = 488448297792. Its totient is φ = 41371983360.

The previous prime is 156935001089. The next prime is 156935001133. The reversal of 156935001132 is 231100539651.

It is a happy number.

156935001132 is a `hidden beast` number, since 1 + 56 + 93 + 500 + 1 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (156935001133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8970778 + ... + 8988254.

It is an arithmetic number, because the mean of its divisors is an integer number (3392002068).

Almost surely, 2156935001132 is an apocalyptic number.

156935001132 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 156935001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244224148896).

156935001132 is an abundant number, since it is smaller than the sum of its proper divisors (331513296660).

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

156935001132 is a wasteful number, since it uses less digits than its factorization.

156935001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20248 (or 20243 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 156935001132 in words is "one hundred fifty-six billion, nine hundred thirty-five million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 2741 3276 5482 8223 10964 16446 17477 19187 24669 32892 34954 35633 38374 49338 52431 57561 69908 71266 76748 98676 104862 106899 115122 122339 142532 157293 172683 209724 213798 227201 230244 244678 249431 314586 320697 345366 367017 427596 454402 489356 498862 629172 641394 681603 690732 734034 748293 908804 997724 1101051 1282788 1363206 1468068 1496586 1590407 2044809 2202102 2244879 2726412 2993172 3180814 4089618 4404204 4489758 4771221 6361628 8179236 8979516 9542442 14313663 19084884 28627326 47904457 57254652 95808914 143713371 191617828 287426742 335331199 431140113 574853484 622757941 670662398 862280226 1005993597 1245515882 1341324796 1724560452 1868273823 2011987194 2491031764 3017980791 3736547646 4023974388 4359305587 5604821469 6035961582 7473095292 8718611174 11209642938 12071923164 13077916761 17437222348 22419285876 26155833522 39233750283 52311667044 78467500566 156935001132