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50364314784 = 2534717269607
BaseRepresentation
bin101110111001111100…
…100111010010100000
311210222222100021120000
4232321330213102200
51311121231033114
635045334020000
73432034416660
oct567174472240
9153888307500
1050364314784
111a3a5385153
129916aa7600
1349983986c4
14261ac861a0
15149b859e09
hexbb9f274a0

50364314784 has 480 divisors, whose sum is σ = 180200401920. Its totient is φ = 13470769152.

The previous prime is 50364314783. The next prime is 50364314821. The reversal of 50364314784 is 48741346305.

50364314784 is a `hidden beast` number, since 503 + 64 + 3 + 1 + 4 + 7 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (50364314783) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 82972209 + ... + 82972815.

It is an arithmetic number, because the mean of its divisors is an integer number (375417504).

Almost surely, 250364314784 is an apocalyptic number.

50364314784 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 50364314784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90100200960).

50364314784 is an abundant number, since it is smaller than the sum of its proper divisors (129836087136).

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

50364314784 is a wasteful number, since it uses less digits than its factorization.

50364314784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 50364314784 in words is "fifty billion, three hundred sixty-four million, three hundred fourteen thousand, seven hundred eighty-four".