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53034065568 = 25321197172583
BaseRepresentation
bin110001011001000100…
…111001111010100000
312001220000221200010200
4301121010321322200
51332103210044233
640210304025200
73555143055651
oct613104717240
9161800850120
1053034065568
1120545390460
12a341002200
1350025208b3
1427d1683528
1515a5e17313
hexc59139ea0

53034065568 has 144 divisors (see below), whose sum is σ = 166223244096. Its totient is φ = 15905157120.

The previous prime is 53034065563. The next prime is 53034065569. The reversal of 53034065568 is 86556043035.

53034065568 is a `hidden beast` number, since 53 + 0 + 3 + 40 + 6 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×530340655682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53034065563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221005 + ... + 393587.

It is an arithmetic number, because the mean of its divisors is an integer number (1154328084).

Almost surely, 253034065568 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 53034065568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83111622048).

53034065568 is an abundant number, since it is smaller than the sum of its proper divisors (113189178528).

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

53034065568 is a wasteful number, since it uses less digits than its factorization.

53034065568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172707 (or 172696 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 53034065568 in words is "fifty-three billion, thirty-four million, sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 97 99 132 144 176 194 198 264 288 291 352 388 396 528 582 776 792 873 1056 1067 1164 1552 1584 1746 2134 2328 3104 3168 3201 3492 4268 4656 6402 6984 8536 9312 9603 12804 13968 17072 19206 25608 27936 34144 38412 51216 76824 102432 153648 172583 307296 345166 517749 690332 1035498 1380664 1553247 1898413 2070996 2761328 3106494 3796826 4141992 5522656 5695239 6212988 7593652 8283984 11390478 12425976 15187304 16567968 16740551 17085717 22780956 24851952 30374608 33481102 34171434 45561912 49703904 50221653 60749216 66962204 68342868 91123824 100443306 133924408 136685736 150664959 182247648 184146061 200886612 267848816 273371472 301329918 368292122 401773224 535697632 546742944 552438183 602659836 736584244 803546448 1104876366 1205319672 1473168488 1607092896 1657314549 2209752732 2410639344 2946336976 3314629098 4419505464 4821278688 5892673952 6629258196 8839010928 13258516392 17678021856 26517032784 53034065568