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52961158944 = 2532417361441
BaseRepresentation
bin110001010100101110…
…110010011100100000
312001200221202122001100
4301110232302130200
51331431024041234
640155141234400
73553266265131
oct612456623440
9161627678040
1052961158944
1120508214651
12a320702a00
134cc03a5095
1427c5b05c88
15159e815399
hexc54bb2720

52961158944 has 144 divisors (see below), whose sum is σ = 156397661784. Its totient is φ = 16986931200.

The previous prime is 52961158919. The next prime is 52961158967. The reversal of 52961158944 is 44985116925.

52961158944 is a `hidden beast` number, since 5 + 2 + 9 + 6 + 11 + 589 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31965148944 + 20996010000 = 178788^2 + 144900^2 .

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, 831264 + ... + 892704.

Almost surely, 252961158944 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 52961158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198830892).

52961158944 is an abundant number, since it is smaller than the sum of its proper divisors (103436502840).

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

52961158944 is a wasteful number, since it uses less digits than its factorization.

52961158944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61571 (or 61560 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 52961158944 in words is "fifty-two billion, nine hundred sixty-one million, one hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 73 82 96 123 144 146 164 219 246 288 292 328 369 438 492 584 656 657 738 876 984 1168 1312 1314 1476 1752 1968 2336 2628 2952 2993 3504 3936 5256 5904 5986 7008 8979 10512 11808 11972 17958 21024 23944 26937 35916 47888 53874 61441 71832 95776 107748 122882 143664 184323 215496 245764 287328 368646 430992 491528 552969 737292 861984 983056 1105938 1474584 1966112 2211876 2519081 2949168 4423752 4485193 5038162 5898336 7557243 8847504 8970386 10076324 13455579 15114486 17695008 17940772 20152648 22671729 26911158 30228972 35881544 40305296 40366737 45343458 53822316 60457944 71763088 80610592 80733474 90686916 107644632 120915888 143526176 161466948 181373832 183892913 215289264 241831776 322933896 362747664 367785826 430578528 551678739 645867792 725495328 735571652 1103357478 1291735584 1471143304 1655036217 2206714956 2942286608 3310072434 4413429912 5884573216 6620144868 8826859824 13240289736 17653719648 26480579472 52961158944