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57516617744 = 246915202299
BaseRepresentation
bin110101100100010000…
…011111000000010000
312111110102122220201122
4311210100133000100
51420243223231434
642231152421412
74104213120125
oct654420370020
9174412586648
1057516617744
11224356a4233
12b192247868
1355680c8831
142ad8b2a74c
15176970ac2e
hexd6441f010

57516617744 has 20 divisors (see below), whose sum is σ = 111599739600. Its totient is φ = 28716684960.

The previous prime is 57516617731. The next prime is 57516617749. The reversal of 57516617744 is 44771661575.

It is a super-2 number, since 2×575166177442 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57516617749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2590094 + ... + 2612205.

It is an arithmetic number, because the mean of its divisors is an integer number (5579986980).

Almost surely, 257516617744 is an apocalyptic number.

It is an amenable number.

57516617744 is a deficient number, since it is larger than the sum of its proper divisors (54083121856).

57516617744 is a wasteful number, since it uses less digits than its factorization.

57516617744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202998 (or 5202992 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 53.

The spelling of 57516617744 in words is "fifty-seven billion, five hundred sixteen million, six hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 691 1382 2764 5528 11056 5202299 10404598 20809196 41618392 83236784 3594788609 7189577218 14379154436 28758308872 57516617744