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53235978432 = 2637137973823
BaseRepresentation
bin110001100101000111…
…001001000011000000
312002102002212220111220
4301211013021003000
51333011402302212
640242315435040
73563144231130
oct614507110300
9162362786456
1053235978432
112063935a59a
12a398755a80
1350352c7770
142810402ac0
1515b89ed38c
hexc651c90c0

53235978432 has 224 divisors, whose sum is σ = 173621102592. Its totient is φ = 14018973696.

The previous prime is 53235978409. The next prime is 53235978443. The reversal of 53235978432 is 23487953235.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×532359784322 (a number of 22 digits) contains 22 as substring.

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, 13923273 + ... + 13927095.

It is an arithmetic number, because the mean of its divisors is an integer number (775094208).

Almost surely, 253235978432 is an apocalyptic number.

53235978432 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 53235978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86810551296).

53235978432 is an abundant number, since it is smaller than the sum of its proper divisors (120385124160).

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

53235978432 is a wasteful number, since it uses less digits than its factorization.

53235978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4645 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The spelling of 53235978432 in words is "fifty-three billion, two hundred thirty-five million, nine hundred seventy-eight thousand, four hundred thirty-two".