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61644323816152 = 23711294198235697
BaseRepresentation
bin11100000010000101100000…
…00001100000001011011000
322002021010202220202011010221
432001002300001200023120
531034440033344104102
6335035002244245424
715661440544651330
oct1601026001401330
9262233686664127
1061644323816152
1118707235803710
126ab70bb3a0874
13285205b59467c
14113185b9580c0
1571d79c559637
hex3810b00602d8

61644323816152 has 128 divisors (see below), whose sum is σ = 149428504512000. Its totient is φ = 23133740636160.

The previous prime is 61644323816147. The next prime is 61644323816167. The reversal of 61644323816152 is 25161832344616.

It is a self number, because there is not a number n which added to its sum of digits gives 61644323816152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367168 + ... + 11602864.

It is an arithmetic number, because the mean of its divisors is an integer number (1167410191500).

Almost surely, 261644323816152 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 61644323816152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74714252256000).

61644323816152 is an abundant number, since it is smaller than the sum of its proper divisors (87784180695848).

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

61644323816152 is a wasteful number, since it uses less digits than its factorization.

61644323816152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236169 (or 8236165 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 61644323816152 in words is "sixty-one trillion, six hundred forty-four billion, three hundred twenty-three million, eight hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 419 616 638 812 838 1276 1624 1676 2233 2552 2933 3352 4466 4609 5866 8932 9218 11732 12151 17864 18436 23464 24302 32263 36872 48604 64526 85057 97208 129052 133661 170114 258104 267322 340228 534644 680456 935627 1069288 1871254 3742508 7485016 8235697 16471394 32942788 57649879 65885576 90592667 115299758 181185334 230599516 238835213 362370668 461199032 477670426 634148669 724741336 955340852 1268297338 1671846491 1910681704 2536594676 2627187343 3343692982 3450757043 5073189352 5254374686 6687385964 6901514086 10508749372 13374771928 13803028172 18390311401 21017498744 24155299301 27606056344 36780622802 37958327473 48310598602 73561245604 75916654946 96621197204 100071954247 147122491208 151833309892 193242394408 200143908494 265708292311 303666619784 400287816988 531416584622 700503679729 800575633976 1062833169244 1100791496717 1401007359458 2125666338488 2201582993434 2802014718916 4403165986868 5604029437832 7705540477019 8806331973736 15411080954038 30822161908076 61644323816152