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57358364541 = 34113116321839
BaseRepresentation
bin110101011010110100…
…110010111101111101
312111001101212211010220
4311122310302331331
51414432220131131
642203340451553
74100252024412
oct653264627575
9174041784126
1057358364541
1122364335265
12b149249bb9
13554139a19a
142ac1ad4109
15175a89ae96
hexd5ad32f7d

57358364541 has 32 divisors (see below), whose sum is σ = 79429109760. Its totient is φ = 36792662400.

The previous prime is 57358364537. The next prime is 57358364561. The reversal of 57358364541 is 14546385375.

It is not a de Polignac number, because 57358364541 - 22 = 57358364537 is a prime.

It is a super-2 number, since 2×573583645412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57358364501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615500 + ... + 2637338.

It is an arithmetic number, because the mean of its divisors is an integer number (2482159680).

Almost surely, 257358364541 is an apocalyptic number.

It is an amenable number.

57358364541 is a deficient number, since it is larger than the sum of its proper divisors (22070745219).

57358364541 is a wasteful number, since it uses less digits than its factorization.

57358364541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22177.

The product of its digits is 6048000, while the sum is 51.

The spelling of 57358364541 in words is "fifty-seven billion, three hundred fifty-eight million, three hundred sixty-four thousand, five hundred forty-one".

Divisors: 1 3 41 123 131 163 393 489 5371 6683 16113 20049 21353 21839 64059 65517 875473 895399 2626419 2686197 2860909 3559757 8582727 10679271 117297269 145950037 351891807 437850111 466328167 1398984501 19119454847 57358364541