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57444622644475 = 5211317293346589
BaseRepresentation
bin11010000111110110111100…
…10100111011010011111011
321112101122121112001211010001
431003323132110323103323
530012133041344110400
6322101410105133431
715046144205000623
oct1503733624732373
9245348545054101
1057444622644475
11173381449a5000
12653919ba8a277
13260900a357481
1410284980c3883
156993ee4a6a6a
hex343ede53b4fb

57444622644475 has 96 divisors (see below), whose sum is σ = 83241257843520. Its totient is φ = 39186071091200.

The previous prime is 57444622644463. The next prime is 57444622644481.

57444622644475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57444622644475 - 29 = 57444622643963 is a prime.

It is a super-2 number, since 2×574446226444752 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165569481 + ... + 165916069.

It is an arithmetic number, because the mean of its divisors is an integer number (867096435870).

Almost surely, 257444622644475 is an apocalyptic number.

57444622644475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57444622644475 is a deficient number, since it is larger than the sum of its proper divisors (25796635199045).

57444622644475 is a wasteful number, since it uses less digits than its factorization.

57444622644475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346942 (or 346915 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 64.

The spelling of 57444622644475 in words is "fifty-seven trillion, four hundred forty-four billion, six hundred twenty-two million, six hundred forty-four thousand, four hundred seventy-five".

Divisors: 1 5 11 17 25 55 85 121 187 275 293 425 605 935 1331 1465 2057 3025 3223 4675 4981 6655 7325 10285 16115 22627 24905 33275 35453 51425 54791 80575 113135 124525 177265 273955 346589 389983 565675 602701 886325 1369775 1732945 1949915 3013505 3812479 5892013 6629711 8664725 9749575 15067525 19062395 29460065 33148555 41937269 64812143 95311975 101550577 147300325 165742775 209686345 324060715 461309959 507752885 712933573 1048431725 1117056347 1620303575 1726359809 2306549795 2538764425 3564667865 5585281735 7842269303 8631799045 11532748975 12287619817 17823339325 18989957899 27926408675 39211346515 43158995225 61438099085 94949789495 135163817987 196056732575 208889536889 307190495425 474748947475 675819089935 1044447684445 2297784905779 3379095449675 5222238422225 11488924528895 57444622644475