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50856709214304 = 2534719163905053
BaseRepresentation
bin10111001000001000000000…
…00101100101000001100000
320200001212001111200120120000
423210010000011211001200
523131214020024324204
6300055125533020000
713466163443533350
oct1344040005450140
9220055044616500
1050856709214304
1115228233579944
125854455024600
13224b9c8422556
14c7b699364b60
155d2d76822039
hex2e4100165060

50856709214304 has 480 divisors, whose sum is σ = 181035707086080. Its totient is φ = 13681258380288.

The previous prime is 50856709214261. The next prime is 50856709214327. The reversal of 50856709214304 is 40341290765805.

It is a happy number.

50856709214304 is a `hidden beast` number, since 5 + 0 + 8 + 56 + 70 + 9 + 214 + 304 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 55739442 + ... + 56644494.

It is an arithmetic number, because the mean of its divisors is an integer number (377157723096).

It is a 1-persistent number, because it is pandigital, but 2⋅50856709214304 = 101713418428608 is not.

Almost surely, 250856709214304 is an apocalyptic number.

50856709214304 is a gapful number since it is divisible by the number (54) 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 50856709214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90517853543040).

50856709214304 is an abundant number, since it is smaller than the sum of its proper divisors (130178997871776).

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

50856709214304 is a wasteful number, since it uses less digits than its factorization.

50856709214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905264 (or 905247 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 50856709214304 in words is "fifty trillion, eight hundred fifty-six billion, seven hundred nine million, two hundred fourteen thousand, three hundred four".