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53890866432 = 2833133531699
BaseRepresentation
bin110010001100001001…
…010101110100000000
312011002202011122222000
4302030021111310000
51340332030211212
640431312144000
73615315543444
oct621411256400
9164082148860
1053890866432
1120944a97647
12a53bb38000
13510aba0560
142873396824
15160625e1dc
hexc8c255d00

53890866432 has 288 divisors, whose sum is σ = 172211088000. Its totient is φ = 16525099008.

The previous prime is 53890866389. The next prime is 53890866443. The reversal of 53890866432 is 23466809835.

53890866432 is a `hidden beast` number, since 53 + 89 + 0 + 86 + 6 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31718319 + ... + 31720017.

Almost surely, 253890866432 is an apocalyptic number.

53890866432 is a gapful number since it is divisible by the number (52) 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 53890866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86105544000).

53890866432 is an abundant number, since it is smaller than the sum of its proper divisors (118320221568).

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

53890866432 is a wasteful number, since it uses less digits than its factorization.

53890866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 53890866432 in words is "fifty-three billion, eight hundred ninety million, eight hundred sixty-six thousand, four hundred thirty-two".