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57629092675 = 52711231301617
BaseRepresentation
bin110101101010111101…
…100010101101000011
312111202021022020022211
4311222331202231003
51421011021431200
642250251242551
74110050130310
oct655275425503
9174667266284
1057629092675
1122493136320
12b203a49457
1355854b954b
142b09a47d07
151774526aba
hexd6af62b43

57629092675 has 48 divisors (see below), whose sum is σ = 92966764032. Its totient is φ = 34362662400.

The previous prime is 57629092669. The next prime is 57629092709.

57629092675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57629092675 - 23 = 57629092667 is a prime.

It is a super-2 number, since 2×576290926752 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606534 + ... + 695083.

It is an arithmetic number, because the mean of its divisors is an integer number (1936807584).

Almost surely, 257629092675 is an apocalyptic number.

57629092675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57629092675 is a deficient number, since it is larger than the sum of its proper divisors (35337671357).

57629092675 is a wasteful number, since it uses less digits than its factorization.

57629092675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301668 (or 1301663 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 57629092675 in words is "fifty-seven billion, six hundred twenty-nine million, ninety-two thousand, six hundred seventy-five".

Divisors: 1 5 7 11 23 25 35 55 77 115 161 175 253 275 385 575 805 1265 1771 1925 4025 6325 8855 44275 1301617 6508085 9111319 14317787 29937191 32540425 45556595 71588935 100224509 149685955 209560337 227782975 329309101 357944675 501122545 748429775 1047801685 1646545505 2305163707 2505612725 5239008425 8232727525 11525818535 57629092675