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64596538093968 = 24327910343549001
BaseRepresentation
bin11101011000000000011011…
…01101001111000110010000
322110201100221210202020002200
432230000031231033012100
531431322202223001333
6345215123454043200
716414642301166216
oct1654001555170620
9273640853666080
1064596538093968
11196452687a9001
1272b32a9aa9500
132a07573014bca
1411d46bc236cb6
157704869e5c13
hex3ac00db4f190

64596538093968 has 120 divisors (see below), whose sum is σ = 183086984421120. Its totient is φ = 21257525952000.

The previous prime is 64596538093951. The next prime is 64596538094059. The reversal of 64596538093968 is 86939083569546.

It is a happy number.

64596538093968 is a `hidden beast` number, since 6 + 4 + 5 + 9 + 65 + 380 + 93 + 96 + 8 = 666.

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, 117387468 + ... + 117936468.

It is an arithmetic number, because the mean of its divisors is an integer number (1525724870176).

Almost surely, 264596538093968 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 64596538093968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91543492210560).

64596538093968 is an abundant number, since it is smaller than the sum of its proper divisors (118490446327152).

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

64596538093968 is a wasteful number, since it uses less digits than its factorization.

64596538093968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559437 (or 559428 counting only the distinct ones).

The product of its (nonzero) digits is 9069926400, while the sum is 81.

The spelling of 64596538093968 in words is "sixty-four trillion, five hundred ninety-six billion, five hundred thirty-eight million, ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 10343 11376 20686 31029 41372 62058 82744 93087 124116 165488 186174 248232 372348 496464 549001 744696 817097 1098002 1489392 1634194 1647003 2196004 2451291 3268388 3294006 4392008 4902582 4941009 6536776 6588012 7353873 8784016 9805164 9882018 13073552 13176024 14707746 19610328 19764036 26352048 29415492 39220656 39528072 43371079 58830984 79056144 86742158 117661968 130113237 173484316 260226474 346968632 390339711 520452948 693937264 780679422 1040905896 1561358844 2081811792 3122717688 5678317343 6245435376 11356634686 17034952029 22713269372 34069904058 45426538744 51104856087 68139808116 90853077488 102209712174 136279616232 204419424348 272559232464 408838848696 448587070097 817677697392 897174140194 1345761210291 1794348280388 2691522420582 3588696560776 4037283630873 5383044841164 7177393121552 8074567261746 10766089682328 16149134523492 21532179364656 32298269046984 64596538093968