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57246144164275 = 52114773331183301
BaseRepresentation
bin11010000010000101010000…
…00101100111000110110011
321111200200022012210100101211
431001002220011213012303
530000410100401224100
6321430303210340551
715025616550520453
oct1501025005470663
9244620265710354
1057246144164275
1117270a53a82190
126506829a2a757
1325c3399323691
14101ca2a107d63
156941848cd1ba
hex3410a81671b3

57246144164275 has 96 divisors (see below), whose sum is σ = 80412059298816. Its totient is φ = 40067913600000.

The previous prime is 57246144164243. The next prime is 57246144164291.

57246144164275 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57246144164275 - 25 = 57246144164243 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312215125 + ... + 312398425.

It is an arithmetic number, because the mean of its divisors is an integer number (837625617696).

Almost surely, 257246144164275 is an apocalyptic number.

57246144164275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57246144164275 is a deficient number, since it is larger than the sum of its proper divisors (23165915134541).

57246144164275 is a wasteful number, since it uses less digits than its factorization.

57246144164275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183773 (or 183768 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 58.

It can be divided in two parts, 5724614 and 4164275, that added together give a palindrome (9888889).

The spelling of 57246144164275 in words is "fifty-seven trillion, two hundred forty-six billion, one hundred forty-four million, one hundred sixty-four thousand, two hundred seventy-five".

Divisors: 1 5 11 25 47 55 73 235 275 331 365 517 803 1175 1655 1825 2585 3431 3641 4015 8275 12925 15557 17155 18205 20075 24163 37741 77785 85775 91025 120815 171127 183301 188705 265793 388925 604075 855635 916505 943525 1135661 1328965 2016311 4278175 4582525 5678305 6644825 8615147 10081555 12492271 13380973 28391525 43075735 50407775 60672631 62461355 66904865 94766617 147190703 215378675 303363155 312306775 334524325 473833085 628905731 667398941 735953515 1516815775 2369165425 2851613657 3144528655 3336994705 3679767575 4429102063 6917963041 14258068285 15722643275 16684973525 22145510315 31367750227 34589815205 48720122693 71290341425 110727551575 156838751135 172949076025 208167796961 243600613465 784193755675 1040838984805 1218003067325 2289845766571 5204194924025 11449228832855 57246144164275