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57518140901 = 1321722940609
BaseRepresentation
bin110101100100010110…
…010010110111100101
312111110112112022002212
4311210112102313211
51420244121002101
642231245213205
74104232062614
oct654426226745
9174415468085
1057518140901
1122436544641
12b192861205
13556850cc00
142ad900587b
15176990c1bb
hexd64592de5

57518140901 has 36 divisors (see below), whose sum is σ = 68445312300. Its totient is φ = 48246202368.

The previous prime is 57518140891. The next prime is 57518140943. The reversal of 57518140901 is 10904181575.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 41955328900 + 15562812001 = 204830^2 + 124751^2 .

It is not a de Polignac number, because 57518140901 - 218 = 57517878757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57518140301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1396085 + ... + 1436693.

It is an arithmetic number, because the mean of its divisors is an integer number (1901258675).

Almost surely, 257518140901 is an apocalyptic number.

It is an amenable number.

57518140901 is a deficient number, since it is larger than the sum of its proper divisors (10927171399).

57518140901 is a wasteful number, since it uses less digits than its factorization.

57518140901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40698 (or 40668 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 41.

The spelling of 57518140901 in words is "fifty-seven billion, five hundred eighteen million, one hundred forty thousand, nine hundred one".

Divisors: 1 13 17 29 169 221 289 377 493 2873 3757 4901 6409 8381 40609 48841 83317 108953 527917 690353 1177661 1416389 6862921 8974589 11736001 15309593 20020237 116669657 152568013 199024709 260263081 340344029 1983384169 3383420053 4424472377 57518140901