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52350572736 = 26327118314221
BaseRepresentation
bin110000110000010101…
…100101100011000000
312000010101211122020100
4300300111211203000
51324203221311421
640014410242400
73532203345330
oct606025454300
9160111748210
1052350572736
1120224596150
12a190126400
134c23a40b77
1427689a50c0
151565e05c26
hexc305658c0

52350572736 has 336 divisors, whose sum is σ = 189346929408. Its totient is φ = 13432780800.

The previous prime is 52350572713. The next prime is 52350572741. The reversal of 52350572736 is 63727505325.

52350572736 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 0 + 572 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 52350572691 and 52350572700.

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 47 ways as a sum of consecutive naturals, for example, 3674106 + ... + 3688326.

It is an arithmetic number, because the mean of its divisors is an integer number (563532528).

Almost surely, 252350572736 is an apocalyptic number.

52350572736 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 52350572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94673464704).

52350572736 is an abundant number, since it is smaller than the sum of its proper divisors (136996356672).

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

52350572736 is a wasteful number, since it uses less digits than its factorization.

52350572736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14340 (or 14327 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 52350572736 in words is "fifty-two billion, three hundred fifty million, five hundred seventy-two thousand, seven hundred thirty-six".