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137056561071801 = 3759911235751517
BaseRepresentation
bin11111001010011011110111…
…101000110000011010111001
3122222021110221101121102021020
4133022123313220300122321
5120431013314113244201
61203254525343333053
740604003231146650
oct3712336750603271
9588243841542236
10137056561071801
113a7413a7738a08
1213456590bb1189
135b624bc035127
1425bb804266197
1510ca250653a36
hex7ca6f7a306b9

137056561071801 has 64 divisors (see below), whose sum is σ = 212715365621760. Its totient is φ = 76871977378560.

The previous prime is 137056561071799. The next prime is 137056561071821. The reversal of 137056561071801 is 108170165650731.

It is not a de Polignac number, because 137056561071801 - 21 = 137056561071799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137056561071821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2660388495 + ... + 2660440011.

It is an arithmetic number, because the mean of its divisors is an integer number (3323677587840).

Almost surely, 2137056561071801 is an apocalyptic number.

It is an amenable number.

137056561071801 is a deficient number, since it is larger than the sum of its proper divisors (75658804549959).

137056561071801 is a wasteful number, since it uses less digits than its factorization.

137056561071801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54854.

The product of its (nonzero) digits is 1058400, while the sum is 51.

The spelling of 137056561071801 in words is "one hundred thirty-seven trillion, fifty-six billion, five hundred sixty-one million, seventy-one thousand, eight hundred one".

Divisors: 1 3 7 21 59 177 413 911 1239 2357 2733 6377 7071 16499 19131 49497 51517 53749 139063 154551 161247 360619 376243 417189 973441 1081857 1128729 2147227 2920323 3039503 6441681 9118509 15030589 21276521 45091767 46931987 63829563 121425569 126686393 140795961 328523909 364276707 380059179 849978983 886804751 985571727 2549936949 2660414253 2768987233 7164108571 8306961699 19382910631 21492325713 50148759997 58148731893 110618693359 150446279991 331856080077 774330853513 2322992560539 6526502908181 19579508724543 45685520357267 137056561071801