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64682096832 = 263366156629
BaseRepresentation
bin111100001111010110…
…100111100011000000
320011221210202222011000
4330033112213203000
52024432104044312
645414201452000
74446611515533
oct741726474300
9204853688130
1064682096832
11254823a2781
1210651aa1000
13613a7900a2
1431b8640a1a
151a38810adc
hexf0f5a78c0

64682096832 has 112 divisors (see below), whose sum is σ = 190444424800. Its totient is φ = 21527700480.

The previous prime is 64682096821. The next prime is 64682096851. The reversal of 64682096832 is 23869028646.

64682096832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1113894 + ... + 1170522.

It is an arithmetic number, because the mean of its divisors is an integer number (1700396650).

Almost surely, 264682096832 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 64682096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95222212400).

64682096832 is an abundant number, since it is smaller than the sum of its proper divisors (125762327968).

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

64682096832 is a wasteful number, since it uses less digits than its factorization.

64682096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57311 (or 57295 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 64682096832 in words is "sixty-four billion, six hundred eighty-two million, ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 661 864 1322 1728 1983 2644 3966 5288 5949 7932 10576 11898 15864 17847 21152 23796 31728 35694 42304 47592 56629 63456 71388 95184 113258 126912 142776 169887 190368 226516 285552 339774 380736 453032 509661 571104 679548 906064 1019322 1142208 1359096 1528983 1812128 2038644 2718192 3057966 3624256 4077288 5436384 6115932 8154576 10872768 12231864 16309152 24463728 32618304 37431769 48927456 74863538 97854912 112295307 149727076 224590614 299454152 336885921 449181228 598908304 673771842 898362456 1010657763 1197816608 1347543684 1796724912 2021315526 2395633216 2695087368 3593449824 4042631052 5390174736 7186899648 8085262104 10780349472 16170524208 21560698944 32341048416 64682096832