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57665586640 = 2451494837717
BaseRepresentation
bin110101101101001000…
…110000010111010000
312111211210222022122011
4311231020300113100
51421044342233030
642254033352304
74111002253564
oct655510602720
9174753868564
1057665586640
11225017a1822
12b214108694
13558cc262cc
142b108276a4
151777834b2a
hexd6d2305d0

57665586640 has 40 divisors (see below), whose sum is σ = 134972332200. Its totient is φ = 22911422976.

The previous prime is 57665586617. The next prime is 57665586659. The reversal of 57665586640 is 4668556675.

It can be written as a sum of positive squares in 4 ways, for example, as 12085044624 + 45580542016 = 109932^2 + 213496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2406939 + ... + 2430778.

It is an arithmetic number, because the mean of its divisors is an integer number (3374308305).

Almost surely, 257665586640 is an apocalyptic number.

It is an amenable number.

57665586640 is an abundant number, since it is smaller than the sum of its proper divisors (77306745560).

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

57665586640 is a wasteful number, since it uses less digits than its factorization.

57665586640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837879 (or 4837873 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 57665586640 in words is "fifty-seven billion, six hundred sixty-five million, five hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 4837717 9675434 19350868 24188585 38701736 48377170 77403472 96754340 193508680 387017360 720819833 1441639666 2883279332 3604099165 5766558664 7208198330 11533117328 14416396660 28832793320 57665586640