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53927258112 = 2113372131531
BaseRepresentation
bin110010001110010100…
…001010100000000000
312011012021122112222000
4302032110022200000
51340420334224422
640435052144000
73616240062600
oct621624124000
9164167575860
1053927258112
1120963593212
12a550168000
1351155a28b0
14287814ac00
15160954bcac
hexc8e50a800

53927258112 has 576 divisors, whose sum is σ = 200251396800. Its totient is φ = 14213283840.

The previous prime is 53927258081. The next prime is 53927258113. The reversal of 53927258112 is 21185272935.

53927258112 is a `hidden beast` number, since 5 + 39 + 27 + 2 + 581 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (53927258113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35222787 + ... + 35224317.

It is an arithmetic number, because the mean of its divisors is an integer number (347658675).

Almost surely, 253927258112 is an apocalyptic number.

53927258112 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 53927258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100125698400).

53927258112 is an abundant number, since it is smaller than the sum of its proper divisors (146324138688).

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

53927258112 is a wasteful number, since it uses less digits than its factorization.

53927258112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1556 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 53927258112 in words is "fifty-three billion, nine hundred twenty-seven million, two hundred fifty-eight thousand, one hundred twelve".