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157165065108 = 2232191523150869
BaseRepresentation
bin1001001001011111000…
…1001001001110010100
3120000200002210112102100
42102113301021032110
510033333224040413
6200111200442100
714232461003622
oct2222761111624
9500602715370
10157165065108
1160720644667
1226562319330
1311a88b2a45c
14786d1d8512
15414cb51a73
hex2497c49394

157165065108 has 72 divisors (see below), whose sum is σ = 418465101600. Its totient is φ = 49598156736.

The previous prime is 157165065073. The next prime is 157165065119. The reversal of 157165065108 is 801560561751.

It is a happy number.

157165065108 is a `hidden beast` number, since 1 + 5 + 71 + 65 + 0 + 6 + 510 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 966298 + ... + 1117166.

It is an arithmetic number, because the mean of its divisors is an integer number (5812015300).

Almost surely, 2157165065108 is an apocalyptic number.

157165065108 is a gapful number since it is divisible by the number (18) 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 157165065108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209232550800).

157165065108 is an abundant number, since it is smaller than the sum of its proper divisors (261300036492).

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

157165065108 is a wasteful number, since it uses less digits than its factorization.

157165065108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152421 (or 152416 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 157165065108 in words is "one hundred fifty-seven billion, one hundred sixty-five million, sixty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1523 3046 4569 6092 9138 13707 18276 27414 28937 54828 57874 86811 115748 150869 173622 260433 301738 347244 452607 520866 603476 905214 1041732 1357821 1810428 2715642 2866511 5431284 5733022 8599533 11466044 17199066 25798599 34398132 51597198 103194396 229773487 459546974 689320461 919093948 1378640922 2067961383 2757281844 4135922766 4365696253 8271845532 8731392506 13097088759 17462785012 26194177518 39291266277 52388355036 78582532554 157165065108