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53796962304 = 21532182417
BaseRepresentation
bin110010000110100011…
…001000000000000000
312010212012110211201100
4302012203020000000
51340134010243204
640414115334400
73613065430461
oct620643100000
9163765424640
1053796962304
11208a6a8a028
12a5145b1400
1350c45b2597
142864b10d68
1515ecdb0a39
hexc868c8000

53796962304 has 96 divisors (see below), whose sum is σ = 155411927190. Its totient is φ = 17932222464.

The previous prime is 53796962299. The next prime is 53796962341. The reversal of 53796962304 is 40326969735.

53796962304 is a `hidden beast` number, since 5 + 3 + 7 + 9 + 6 + 9 + 623 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53616328704 + 180633600 = 231552^2 + 13440^2 .

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

It is a super-2 number, since 2×537969623042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203704 + ... + 386120.

Almost surely, 253796962304 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 53796962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77705963595).

53796962304 is an abundant number, since it is smaller than the sum of its proper divisors (101614964886).

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

53796962304 is an equidigital number, since it uses as much as digits as its factorization.

53796962304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182453 (or 182422 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 53796962304 in words is "fifty-three billion, seven hundred ninety-six million, nine hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 73728 98304 147456 182417 294912 364834 547251 729668 1094502 1459336 1641753 2189004 2918672 3283506 4378008 5837344 6567012 8756016 11674688 13134024 17512032 23349376 26268048 35024064 46698752 52536096 70048128 93397504 105072192 140096256 186795008 210144384 280192512 373590016 420288768 560385024 747180032 840577536 1120770048 1494360064 1681155072 2241540096 2988720128 3362310144 4483080192 5977440256 6724620288 8966160384 13449240576 17932320768 26898481152 53796962304