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57135881751 = 31329139363439
BaseRepresentation
bin110101001101100100…
…000101111000010111
312110110220020112010120
4311031210011320113
51414003241204001
642125312123023
74061610660504
oct651544057027
9173426215116
1057135881751
112225a796693
12b0a6836473
135507270670
142aa033c4ab
1517460a0236
hexd4d905e17

57135881751 has 32 divisors (see below), whose sum is σ = 85481088000. Its totient is φ = 33703786368.

The previous prime is 57135881741. The next prime is 57135881753. The reversal of 57135881751 is 15718853175.

It is a happy number.

57135881751 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57135881751 - 210 = 57135880727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57135881694 and 57135881703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57135881753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24511 + ... + 338928.

It is an arithmetic number, because the mean of its divisors is an integer number (2671284000).

Almost surely, 257135881751 is an apocalyptic number.

57135881751 is a deficient number, since it is larger than the sum of its proper divisors (28345206249).

57135881751 is a wasteful number, since it uses less digits than its factorization.

57135881751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363623.

The product of its digits is 1176000, while the sum is 51.

The spelling of 57135881751 in words is "fifty-seven billion, one hundred thirty-five million, eight hundred eighty-one thousand, seven hundred fifty-one".

Divisors: 1 3 13 29 39 87 139 377 417 1131 1807 4031 5421 12093 52403 157209 363439 1090317 4724707 10539731 14174121 31619193 50518021 137016503 151554063 411049509 656734273 1465022609 1970202819 4395067827 19045293917 57135881751