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64970918686116 = 223456927872
BaseRepresentation
bin11101100010111001110001…
…00001110110110110100100
322112001011022000212211110000
432301130320201312312210
532003440420140423431
6350103121125301300
716453664634545112
oct1661347041666644
9275034260784400
1064970918686116
111977a0148a0063
127353971264830
132a339679b7401
141208875a96ab2
1577a0991689e6
hex3b1738876da4

64970918686116 has 135 divisors (see below), whose sum is σ = 170362310552049. Its totient is φ = 21591441404352.

The previous prime is 64970918686103. The next prime is 64970918686127. The reversal of 64970918686116 is 61168681907946.

The square root of 64970918686116 is 8060454.

It is a perfect power (a square), and thus also a powerful number.

64970918686116 is a `hidden beast` number, since 6 + 497 + 0 + 9 + 1 + 8 + 68 + 61 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10708248343716 + 54262670342400 = 3272346^2 + 7366320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82555169475 + ... + 82555170261.

Almost surely, 264970918686116 is an apocalyptic number.

64970918686116 is the 8060454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64970918686116

64970918686116 is an abundant number, since it is smaller than the sum of its proper divisors (105391391865933).

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

64970918686116 is an frugal number, since it uses more digits than its factorization.

64970918686116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 64970918686116 in words is "sixty-four trillion, nine hundred seventy billion, nine hundred eighteen million, six hundred eighty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 569 787 1138 1574 1707 2276 2361 3148 3414 4722 5121 6828 7083 9444 10242 14166 15363 20484 21249 28332 30726 42498 46089 61452 63747 84996 92178 127494 184356 254988 323761 447803 619369 647522 895606 971283 1238738 1295044 1343409 1791212 1858107 1942566 2477476 2686818 2913849 3716214 3885132 4030227 5373636 5574321 5827698 7432428 8060454 8741547 11148642 11655396 12090681 16120908 16722963 17483094 22297284 24181362 26224641 33445926 34966188 36272043 48362724 50168889 52449282 66891852 72544086 100337778 104898564 145088172 200675556 254799907 352420961 509599814 704841922 764399721 1019199628 1057262883 1409683844 1528799442 2114525766 2293199163 3057598884 3171788649 4229051532 4586398326 6343577298 6879597489 9172796652 9515365947 12687154596 13759194978 19030731894 20638792467 27518389956 28546097841 38061463788 41277584934 57092195682 82555169868 114184391364 200527526809 401055053618 601582580427 802110107236 1203165160854 1804747741281 2406330321708 3609495482562 5414243223843 7218990965124 10828486447686 16242729671529 21656972895372 32485459343058 64970918686116