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64113041871844 = 22725719332
BaseRepresentation
bin11101001001111011110110…
…00101100001001111100100
322102000010222010022021222121
432210331323011201033210
531400412002204344334
6344205042544035324
716335004642130200
oct1644757305411744
9272003863267877
1064113041871844
1119479208793159
127235654002b44
1329a0aac128b94
1411b9132c41b00
15762ad9c1adb4
hex3a4f7b1613e4

64113041871844 has 27 divisors (see below), whose sum is σ = 130516063440777. Its totient is φ = 27476969902704.

The previous prime is 64113041871829. The next prime is 64113041871877. The reversal of 64113041871844 is 44817814031146.

The square root of 64113041871844 is 8007062.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58021583496100 + 6091458375744 = 7617190^2 + 2468088^2 .

It is a super-2 number, since 2×641130418718442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64113041871791 and 64113041871800.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111812902 + ... + 112384834.

Almost surely, 264113041871844 is an apocalyptic number.

64113041871844 is the 8007062-nd square number.

It is an amenable number.

64113041871844 is an abundant number, since it is smaller than the sum of its proper divisors (66403021568933).

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

64113041871844 is an frugal number, since it uses more digits than its factorization.

64113041871844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143884 (or 571942 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 64113041871844 in words is "sixty-four trillion, one hundred thirteen billion, forty-one million, eight hundred seventy-one thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 571933 1143866 2287732 4003531 8007062 16014124 28024717 56049434 112098868 327107356489 654214712978 1308429425956 2289751495423 4579502990846 9159005981692 16028260467961 32056520935922 64113041871844