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53430402816 = 28337219323
BaseRepresentation
bin110001110000101100…
…110011111100000000
312002220122201200122000
4301300230303330000
51333411140342231
640313502544000
73601024634100
oct616054637400
9162818650560
1053430402816
11207290844aa
12a431898000
13506667bc8b
14282c173200
1515cab056e6
hexc70b33f00

53430402816 has 864 divisors, whose sum is σ = 202444300800. Its totient is φ = 13833566208.

The previous prime is 53430402803. The next prime is 53430402847. The reversal of 53430402816 is 61820403435.

53430402816 is a `hidden beast` number, since 534 + 3 + 0 + 40 + 2 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2323060981 + ... + 2323061003.

Almost surely, 253430402816 is an apocalyptic number.

53430402816 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 53430402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101222150400).

53430402816 is an abundant number, since it is smaller than the sum of its proper divisors (149013897984).

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

53430402816 is an equidigital number, since it uses as much as digits as its factorization.

53430402816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53430402816 in words is "fifty-three billion, four hundred thirty million, four hundred two thousand, eight hundred sixteen".