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53505760896 = 27337345137
BaseRepresentation
bin110001110101001100…
…010001111010000000
312010002220112021111000
4301311030101322000
51334034433322041
640325154052000
73602631315000
oct616514217200
9163086467430
1053505760896
1120767675105
12a452b7a000
135079175563
14283818c000
1515d253dbb6
hexc75311e80

53505760896 has 256 divisors, whose sum is σ = 184163040000. Its totient is φ = 15287021568.

The previous prime is 53505760853. The next prime is 53505760937. The reversal of 53505760896 is 69806750535.

53505760896 is a `hidden beast` number, since 53 + 505 + 7 + 6 + 0 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1162840 + ... + 1207976.

It is an arithmetic number, because the mean of its divisors is an integer number (719386875).

Almost surely, 253505760896 is an apocalyptic number.

53505760896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53505760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92081520000).

53505760896 is an abundant number, since it is smaller than the sum of its proper divisors (130657279104).

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

53505760896 is an equidigital number, since it uses as much as digits as its factorization.

53505760896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45181 (or 45149 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 53505760896 in words is "fifty-three billion, five hundred five million, seven hundred sixty thousand, eight hundred ninety-six".