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50816422379520 = 21733572294347
BaseRepresentation
bin10111000110111100111101…
…10011100000000000000000
320122221000001211220022201000
423203132132303200000000
523130034013112121040
6300024424150212000
713463236214224500
oct1343363663400000
9218830054808630
1050816422379520
111521213a719666
125848691054000
132247c77b01685
14c79756a4da00
155d1cb9a7c130
hex2e379ece0000

50816422379520 has 3456 divisors, whose sum is σ = 227216324966400. Its totient is φ = 10720792018944.

The previous prime is 50816422379381. The next prime is 50816422379521. The reversal of 50816422379520 is 2597322461805.

50816422379520 is a `hidden beast` number, since 5 + 0 + 8 + 1 + 6 + 42 + 2 + 3 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50816422379521) 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 191 ways as a sum of consecutive naturals, for example, 1081200476137 + ... + 1081200476183.

It is an arithmetic number, because the mean of its divisors is an integer number (65745464400).

It is a 3-persistent number, because k⋅50816422379520 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 250816422379520 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 50816422379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113608162483200).

50816422379520 is an abundant number, since it is smaller than the sum of its proper divisors (176399902586880).

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

50816422379520 is an equidigital number, since it uses as much as digits as its factorization.

50816422379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 136 counting only the distinct ones).

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

The spelling of 50816422379520 in words is "fifty trillion, eight hundred sixteen billion, four hundred twenty-two million, three hundred seventy-nine thousand, five hundred twenty".