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52376115456 = 2833717371721
BaseRepresentation
bin110000110001110111…
…000001100100000000
312000012011220100021000
4300301313001210000
51324231241143311
640021121532000
73532633431030
oct606167014400
9160164810230
1052376115456
1120237a51835
12a1987a4000
134c291150c2
14276c1338c0
15156829e056
hexc31dc1900

52376115456 has 576 divisors, whose sum is σ = 192601704960. Its totient is φ = 13695713280.

The previous prime is 52376115443. The next prime is 52376115461. The reversal of 52376115456 is 65451167325.

52376115456 is a `hidden beast` number, since 5 + 23 + 7 + 611 + 5 + 4 + 5 + 6 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 30432676 + ... + 30434396.

It is an arithmetic number, because the mean of its divisors is an integer number (334377960).

Almost surely, 252376115456 is an apocalyptic number.

52376115456 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 52376115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96300852480).

52376115456 is an abundant number, since it is smaller than the sum of its proper divisors (140225589504).

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

52376115456 is a wasteful number, since it uses less digits than its factorization.

52376115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1787 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 52376115456 in words is "fifty-two billion, three hundred seventy-six million, one hundred fifteen thousand, four hundred fifty-six".