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157655442690 = 2365171272133
BaseRepresentation
bin1001001011010011111…
…1110010010100000010
3120001221021112022000000
42102310333302110002
510040334243131230
6200231555140430
714250564103104
oct2226477622402
9501837468000
10157655442690
1160952429599
122667a5a4716
1311b365c37c5
1478b83a7574
15417ac18b60
hex24b4ff2502

157655442690 has 112 divisors (see below), whose sum is σ = 450503357688. Its totient is φ = 39568393728.

The previous prime is 157655442683. The next prime is 157655442691. The reversal of 157655442690 is 96244556751.

157655442690 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 5 + 544 + 2 + 6 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107953644969 + 49701797721 = 328563^2 + 222939^2 .

It is a super-2 number, since 2×1576554426902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (157655442691) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 512137 + ... + 759996.

Almost surely, 2157655442690 is an apocalyptic number.

157655442690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157655442690 is an abundant number, since it is smaller than the sum of its proper divisors (292847914998).

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

157655442690 is a wasteful number, since it uses less digits than its factorization.

157655442690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272175 (or 1272160 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 157655442690 in words is "one hundred fifty-seven billion, six hundred fifty-five million, four hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 729 765 810 918 1215 1377 1458 1530 2295 2430 2754 3645 4131 4590 6885 7290 8262 12393 13770 20655 24786 41310 61965 123930 1272133 2544266 3816399 6360665 7632798 11449197 12721330 19081995 21626261 22898394 34347591 38163990 43252522 57245985 64878783 68695182 103042773 108131305 114491970 129757566 171737955 194636349 206085546 216262610 309128319 324393915 343475910 389272698 515213865 583909047 618256638 648787830 927384957 973181745 1030427730 1167818094 1545641595 1751727141 1854769914 1946363490 2919545235 3091283190 3503454282 4636924785 5255181423 5839090470 8758635705 9273849570 10510362846 15765544269 17517271410 26275907115 31531088538 52551814230 78827721345 157655442690