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57641323817 = 711282182891
BaseRepresentation
bin110101101011101100…
…001100110100101001
312111210010022122022002
4311223230030310221
51421022134330232
642251405340345
74110256111520
oct655354146451
9174703278262
1057641323817
112249a02a800
12b207b676b5
135587bac7cc
142b0b50d4b7
151775640b62
hexd6bb0cd29

57641323817 has 24 divisors (see below), whose sum is σ = 72498006336. Its totient is φ = 44860068000.

The previous prime is 57641323787. The next prime is 57641323841. The reversal of 57641323817 is 71832314675.

It is a happy number.

It is not a de Polignac number, because 57641323817 - 216 = 57641258281 is a prime.

It is a super-4 number, since 4×576413238174 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (57641323867) 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 23 ways as a sum of consecutive naturals, for example, 653942 + ... + 736832.

It is an arithmetic number, because the mean of its divisors is an integer number (3020750264).

Almost surely, 257641323817 is an apocalyptic number.

It is an amenable number.

57641323817 is a deficient number, since it is larger than the sum of its proper divisors (14856682519).

57641323817 is a wasteful number, since it uses less digits than its factorization.

57641323817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83741 (or 83730 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 57641323817 in words is "fifty-seven billion, six hundred forty-one million, three hundred twenty-three thousand, eight hundred seventeen".

Divisors: 1 7 11 77 121 821 847 5747 9031 63217 82891 99341 580237 695387 911801 6382607 10029811 68053511 70208677 476374577 748588621 5240120347 8234474831 57641323817