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64131446224056 = 23323170967981367
BaseRepresentation
bin11101001010011110001000…
…00100100011010010111000
322102001220110202100020222010
432211033010010203102320
531401212200213132211
6344221325113125520
716336226010421551
oct1645170404432270
9272056422306863
1064131446224056
1119485aa25433a2
12723912b6b98a0
1329a2753062a13
1411b9d9b247328
157633158474a6
hex3a53c41234b8

64131446224056 has 64 divisors (see below), whose sum is σ = 167397320563200. Its totient is φ = 20435742470528.

The previous prime is 64131446224049. The next prime is 64131446224063. The reversal of 64131446224056 is 65042264413146.

It is an interprime number because it is at equal distance from previous prime (64131446224049) and next prime (64131446224063).

It is a super-2 number, since 2×641314462240562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64131446223996 and 64131446224014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33047316 + ... + 34934051.

It is an arithmetic number, because the mean of its divisors is an integer number (2615583133800).

Almost surely, 264131446224056 is an apocalyptic number.

It is an amenable number.

64131446224056 is an abundant number, since it is smaller than the sum of its proper divisors (103265874339144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64131446224056 is a wasteful number, since it uses less digits than its factorization.

64131446224056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67983108 (or 67983104 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 64131446224056 in words is "sixty-four trillion, one hundred thirty-one billion, four hundred forty-six million, two hundred twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1709 3418 5127 6836 10254 13672 20508 39307 41016 78614 117921 157228 235842 314456 471684 943368 67981367 135962734 203944101 271925468 407888202 543850936 815776404 1563571441 1631552808 3127142882 4690714323 6254285764 9381428646 12508571528 18762857292 37525714584 116180156203 232360312406 348540468609 464720624812 697080937218 929441249624 1394161874436 2672143592669 2788323748872 5344287185338 8016430778007 10688574370676 16032861556014 21377148741352 32065723112028 64131446224056