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52407823104 = 28327131811381
BaseRepresentation
bin110000110011101111…
…111110101100000000
312000021101120020222100
4300303233332230000
51324312400314404
640024213310400
73533500101120
oct606357765400
9160241506870
1052407823104
11202539391aa
12a1a7335400
134c32867420
142772428c80
15156ae63d39
hexc33bfeb00

52407823104 has 432 divisors, whose sum is σ = 187137880384. Its totient is φ = 13735526400.

The previous prime is 52407823021. The next prime is 52407823141. The reversal of 52407823104 is 40132870425.

It is a happy number.

52407823104 is a `hidden beast` number, since 524 + 0 + 7 + 8 + 23 + 104 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37948494 + ... + 37949874.

Almost surely, 252407823104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52407823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93568940192).

52407823104 is an abundant number, since it is smaller than the sum of its proper divisors (134730057280).

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

52407823104 is a wasteful number, since it uses less digits than its factorization.

52407823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 52407823104 in words is "fifty-two billion, four hundred seven million, eight hundred twenty-three thousand, one hundred four".