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50982317568 = 29367131979
BaseRepresentation
bin101111011110110010…
…000110111000000000
311212121001020002000000
4233132302012320000
51313402433130233
635230532000000
73453250356240
oct573662067000
9155531202000
1050982317568
111a692209856
129a69a60000
134a66428620
142678d97b20
1514d5c31d13
hexbdec86e00

50982317568 has 1120 divisors, whose sum is σ = 200370508800. Its totient is φ = 12576964608.

The previous prime is 50982317537. The next prime is 50982317593. The reversal of 50982317568 is 86571328905.

50982317568 is a `hidden beast` number, since 50 + 9 + 8 + 23 + 1 + 7 + 568 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 50982317568 = 363 + 37083 = 23043 + 33843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 645345753 + ... + 645345831.

It is an arithmetic number, because the mean of its divisors is an integer number (178902240).

Almost surely, 250982317568 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 50982317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100185254400).

50982317568 is an abundant number, since it is smaller than the sum of its proper divisors (149388191232).

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

50982317568 is an equidigital number, since it uses as much as digits as its factorization.

50982317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 50982317568 in words is "fifty billion, nine hundred eighty-two million, three hundred seventeen thousand, five hundred sixty-eight".