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53338966176 = 2531017097759
BaseRepresentation
bin110001101011010000…
…000000100010100000
312002200021200020010210
4301223100000202200
51333214233404201
640300435054120
73565534506006
oct615320004240
9162607606123
1053338966176
1120691501831
12a407141340
135050746162
14281dd70a76
1515c2a931d6
hexc6b4008a0

53338966176 has 96 divisors (see below), whose sum is σ = 141618758400. Its totient is φ = 17576524800.

The previous prime is 53338966159. The next prime is 53338966189. The reversal of 53338966176 is 67166983335.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6870585 + ... + 6878343.

It is an arithmetic number, because the mean of its divisors is an integer number (1475195400).

Almost surely, 253338966176 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 53338966176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70809379200).

53338966176 is an abundant number, since it is smaller than the sum of its proper divisors (88279792224).

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

53338966176 is a wasteful number, since it uses less digits than its factorization.

53338966176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8574 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 57.

The spelling of 53338966176 in words is "fifty-three billion, three hundred thirty-eight million, nine hundred sixty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 709 808 1212 1418 1616 2127 2424 2836 3232 4254 4848 5672 7759 8508 9696 11344 15518 17016 22688 23277 31036 34032 46554 62072 68064 71609 93108 124144 143218 186216 214827 248288 286436 372432 429654 572872 744864 783659 859308 1145744 1567318 1718616 2291488 2350977 3134636 3437232 4701954 5501131 6269272 6874464 9403908 11002262 12538544 16503393 18807816 22004524 25077088 33006786 37615632 44009048 66013572 75231264 88018096 132027144 176036192 264054288 528108576 555614231 1111228462 1666842693 2222456924 3333685386 4444913848 6667370772 8889827696 13334741544 17779655392 26669483088 53338966176