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64688514336 = 25327316991811
BaseRepresentation
bin111100001111101111…
…000110010100100000
320011222020212000022100
4330033233012110200
52024440224424321
645414551210400
74450020204465
oct741757062440
9204866760270
1064688514336
1125485a862a6
1210654076a00
13613bbc9124
1431b943166c
151a3917c326
hexf0fbc6520

64688514336 has 144 divisors (see below), whose sum is σ = 186690722400. Its totient is φ = 21243202560.

The previous prime is 64688514301. The next prime is 64688514349. The reversal of 64688514336 is 63341588646.

64688514336 is a `hidden beast` number, since 6 + 46 + 88 + 514 + 3 + 3 + 6 = 666.

64688514336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35718871 + ... + 35720681.

It is an arithmetic number, because the mean of its divisors is an integer number (1296463350).

Almost surely, 264688514336 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 64688514336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93345361200).

64688514336 is an abundant number, since it is smaller than the sum of its proper divisors (122002208064).

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

64688514336 is a wasteful number, since it uses less digits than its factorization.

64688514336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3588 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 64688514336 in words is "sixty-four billion, six hundred eighty-eight million, five hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1699 1752 1811 2336 2628 3398 3504 3622 5097 5256 5433 6796 7008 7244 10194 10512 10866 13592 14488 15291 16299 20388 21024 21732 27184 28976 30582 32598 40776 43464 54368 57952 61164 65196 81552 86928 122328 124027 130392 132203 163104 173856 244656 248054 260784 264406 372081 396609 489312 496108 521568 528812 744162 793218 992216 1057624 1116243 1189827 1488324 1586436 1984432 2115248 2232486 2379654 2976648 3076889 3172872 3968864 4230496 4464972 4759308 5953296 6153778 6345744 8929944 9230667 9518616 11906592 12307556 12691488 17859888 18461334 19037232 24615112 27692001 35719776 36922668 38074464 49230224 55384002 73845336 98460448 110768004 147690672 221536008 224612897 295381344 443072016 449225794 673838691 886144032 898451588 1347677382 1796903176 2021516073 2695354764 3593806352 4043032146 5390709528 7187612704 8086064292 10781419056 16172128584 21562838112 32344257168 64688514336