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64553455264 = 2523229131497
BaseRepresentation
bin111100000111101011…
…111000111010100000
320011121211201022002111
4330013223320322200
52024201141032024
645353324325104
74443460213324
oct740753707240
9204554638074
1064553455264
1125416819431
12106169a3794
136119c2ba0c
1431a5515984
151a2c39ea94
hexf07af8ea0

64553455264 has 72 divisors (see below), whose sum is σ = 137437764660. Its totient is φ = 29808565248.

The previous prime is 64553455249. The next prime is 64553455289. The reversal of 64553455264 is 46255435546.

It can be written as a sum of positive squares in 2 ways, for example, as 61656862864 + 2896592400 = 248308^2 + 53820^2 .

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 11 ways as a sum of consecutive naturals, for example, 425164 + ... + 556660.

Almost surely, 264553455264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64553455264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68718882330).

64553455264 is an abundant number, since it is smaller than the sum of its proper divisors (72884309396).

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

64553455264 is a wasteful number, since it uses less digits than its factorization.

64553455264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131582 (or 131551 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 49.

The spelling of 64553455264 in words is "sixty-four billion, five hundred fifty-three million, four hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 232 368 464 529 667 736 928 1058 1334 2116 2668 4232 5336 8464 10672 15341 16928 21344 30682 61364 122728 131497 245456 262994 490912 525988 1051976 2103952 3024431 3813413 4207904 6048862 7626826 12097724 15253652 24195448 30507304 48390896 61014608 69561913 87708499 96781792 122029216 139123826 175416998 278247652 350833996 556495304 701667992 1112990608 1403335984 2017295477 2225981216 2806671968 4034590954 8069181908 16138363816 32276727632 64553455264