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53057821049856 = 21035734987281
BaseRepresentation
bin11000001000001011111001…
…00100111000010000000000
320221212021111202221012200000
430010011330210320100000
523423244404142043411
6304502232042400000
714114205160454460
oct1404057444702000
9227767452835600
1053057821049856
11159a677184a387
125b4ab64b00000
13237b43c43b93c
14d16025835ba0
15620250696956
hex30417c938400

53057821049856 has 528 divisors, whose sum is σ = 182096646076800. Its totient is φ = 15115767644160.

The previous prime is 53057821049797. The next prime is 53057821049923. The reversal of 53057821049856 is 65894012875035.

53057821049856 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 7 + 82 + 10 + 498 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 53057821049793 and 53057821049802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607852936 + ... + 607940216.

It is a 1-persistent number, because it is pandigital, but 2⋅53057821049856 = 106115642099712 is not.

Almost surely, 253057821049856 is an apocalyptic number.

53057821049856 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 53057821049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91048323038400).

53057821049856 is an abundant number, since it is smaller than the sum of its proper divisors (129038825026944).

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

53057821049856 is an equidigital number, since it uses as much as digits as its factorization.

53057821049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87672 (or 87642 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 53057821049856 in words is "fifty-three trillion, fifty-seven billion, eight hundred twenty-one million, forty-nine thousand, eight hundred fifty-six".