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64768227216 = 24371119922309
BaseRepresentation
bin111100010100011111…
…001011011110010000
320012011210211211211020
4330110133023132100
52030121131232331
645430515515440
74452005563530
oct742437133620
9205153754736
1064768227216
1125516a80810
12106768b8b80
136152588904
1431c5c614c0
151a41175c96
hexf147cb790

64768227216 has 160 divisors (see below), whose sum is σ = 219583564800. Its totient is φ = 15937482240.

The previous prime is 64768227187. The next prime is 64768227259. The reversal of 64768227216 is 61272286746.

It is a super-2 number, since 2×647682272162 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 390931 + ... + 531378.

It is an arithmetic number, because the mean of its divisors is an integer number (1372397280).

Almost surely, 264768227216 is an apocalyptic number.

64768227216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

64768227216 is an abundant number, since it is smaller than the sum of its proper divisors (154815337584).

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

64768227216 is a wasteful number, since it uses less digits than its factorization.

64768227216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922357 (or 922351 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 64768227216 in words is "sixty-four billion, seven hundred sixty-eight million, two hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 17556 23408 35112 70224 922309 1844618 2766927 3689236 5533854 6456163 7378472 10145399 11067708 12912326 14756944 17523871 19368489 20290798 22135416 25824652 30436197 35047742 38736978 40581596 44270832 51649304 52571613 60872394 70095484 71017793 77473956 81163192 103298608 105143226 121744788 122667097 140190968 142035586 154947912 162326384 192762581 210286452 213053379 243489576 245334194 280381936 284071172 309895824 368001291 385525162 420572904 426106758 486979152 490668388 568142344 578287743 736002582 771050324 841145808 852213516 981336776 1136284688 1156575486 1349338067 1472005164 1542100648 1704427032 1962673552 2313150972 2698676134 2944010328 3084201296 3408854064 4048014201 4626301944 5397352268 5888020656 8096028402 9252603888 10794704536 16192056804 21589409072 32384113608 64768227216