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57344644375 = 54172595381
BaseRepresentation
bin110101011010000000…
…011101010100010111
312111000110001202121121
4311122000131110113
51414420212110000
642202130424411
74100024302054
oct653200352427
9174013052547
1057344644375
1122357614087
12b144732107
13553b5a5245
142abdd6202b
15175958ab1a
hexd5a01d517

57344644375 has 60 divisors (see below), whose sum is σ = 77425559640. Its totient is φ = 42437440000.

The previous prime is 57344644367. The next prime is 57344644381.

57344644375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57344644375 - 23 = 57344644367 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10654185 + ... + 10659565.

It is an arithmetic number, because the mean of its divisors is an integer number (1290425994).

Almost surely, 257344644375 is an apocalyptic number.

57344644375 is a deficient number, since it is larger than the sum of its proper divisors (20080915265).

57344644375 is an equidigital number, since it uses as much as digits as its factorization.

57344644375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5462 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 52.

The spelling of 57344644375 in words is "fifty-seven billion, three hundred forty-four million, six hundred forty-four thousand, three hundred seventy-five".

Divisors: 1 5 17 25 59 85 125 289 295 425 625 1003 1445 1475 2125 5015 5381 7225 7375 10625 17051 25075 26905 36125 36875 85255 91477 125375 134525 180625 317479 426275 457385 626875 672625 1555109 1587395 2131375 2286925 3363125 5397143 7775545 7936975 10656875 11434625 26985715 38877725 39684875 57173125 91751431 134928575 194388625 198424375 458757155 674642875 971943125 2293785775 3373214375 11468928875 57344644375