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157697140032 = 26363379997
BaseRepresentation
bin1001001011011101111…
…0110110010101000000
3120002001011222202000000
42102313132312111000
510040430431440112
6200240045000000
714251611400515
oct2226736662500
9502034882000
10157697140032
1160973a19403
1226690553000
1311b42132aa3
1478bdb3d30c
15417e7037dc
hex24b77b6540

157697140032 has 98 divisors (see below), whose sum is σ = 469180902378. Its totient is φ = 52565697792.

The previous prime is 157697139997. The next prime is 157697140067. The reversal of 157697140032 is 230041796751.

157697140032 is a `hidden beast` number, since 1 + 576 + 9 + 7 + 1 + 40 + 0 + 32 = 666.

157697140032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157697139997) and next prime (157697140067).

It can be written as a sum of positive squares in only one way, i.e., 153526046976 + 4171093056 = 391824^2 + 64584^2 .

It is a super-2 number, since 2×1576971400322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157697140032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1643343 + ... + 1736654.

Almost surely, 2157697140032 is an apocalyptic number.

157697140032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157697140032 is an abundant number, since it is smaller than the sum of its proper divisors (311483762346).

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

157697140032 is an frugal number, since it uses more digits than its factorization.

157697140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380027 (or 3380002 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 157697140032 in words is "one hundred fifty-seven billion, six hundred ninety-seven million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 3379997 6759994 10139991 13519988 20279982 27039976 30419973 40559964 54079952 60839946 81119928 91259919 108159904 121679892 162239856 182519838 216319808 243359784 273779757 324479712 365039676 486719568 547559514 648959424 730079352 821339271 973439136 1095119028 1460158704 1642678542 1946878272 2190238056 2464017813 2920317408 3285357084 4380476112 4928035626 5840634816 6570714168 8760952224 9856071252 13141428336 17521904448 19712142504 26282856672 39424285008 52565713344 78848570016 157697140032