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57442100124475 = 52117112161241919
BaseRepresentation
bin11010000111110010001111…
…11110010001101100111011
321112101102002201111112012101
431003321013332101230323
530012112410112440400
6322100311514524231
715046024534636123
oct1503710776215473
9245342081445171
1057442100124475
111733707000a430
1265387b7136677
1326089c78718a1
1410282d908dc83
15699302ccd56a
hex343e47f91b3b

57442100124475 has 48 divisors (see below), whose sum is σ = 78804716175360. Its totient is φ = 41184120320000.

The previous prime is 57442100124439. The next prime is 57442100124517.

57442100124475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57442100124475 - 235 = 57407740386107 is a prime.

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, 237322566 + ... + 237564484.

It is an arithmetic number, because the mean of its divisors is an integer number (1641764920320).

Almost surely, 257442100124475 is an apocalyptic number.

57442100124475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57442100124475 is a deficient number, since it is larger than the sum of its proper divisors (21362616050885).

57442100124475 is a wasteful number, since it uses less digits than its factorization.

57442100124475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254172 (or 254167 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 46.

It can be divided in two parts, 57442100 and 124475, that added together give a palindrome (57566575).

The spelling of 57442100124475 in words is "fifty-seven trillion, four hundred forty-two billion, one hundred million, one hundred twenty-four thousand, four hundred seventy-five".

Divisors: 1 5 11 25 55 71 275 355 781 1775 3905 12161 19525 60805 133771 241919 304025 668855 863431 1209595 2661109 3344275 4317155 6047975 9497741 13305545 17176249 21585775 47488705 66527725 85881245 188938739 237443525 429406225 944693695 2941976959 4723468475 14709884795 32361746549 73549423975 161808732745 208880364089 809043663725 1044401820445 2297684004979 5222009102225 11488420024895 57442100124475