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50942114496 = 263271331107293
BaseRepresentation
bin101111011100011000…
…101111101011000000
311212111020120112202100
4233130120233223000
51313312140130441
635222534150400
73452251554150
oct573430575300
9155436515670
1050942114496
111a67154a679
129a584b2400
134a5acc0520
1426738d0760
1514d243ecb6
hexbdc62fac0

50942114496 has 672 divisors, whose sum is σ = 187882426368. Its totient is φ = 12836413440.

The previous prime is 50942114479. The next prime is 50942114497. The reversal of 50942114496 is 69441124905.

50942114496 is a `hidden beast` number, since 5 + 0 + 9 + 42 + 114 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (50942114497) 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 95 ways as a sum of consecutive naturals, for example, 173863726 + ... + 173864018.

It is an arithmetic number, because the mean of its divisors is an integer number (279586944).

Almost surely, 250942114496 is an apocalyptic number.

50942114496 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 50942114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93941213184).

50942114496 is an abundant number, since it is smaller than the sum of its proper divisors (136940311872).

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

50942114496 is a wasteful number, since it uses less digits than its factorization.

50942114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 50942114496 in words is "fifty billion, nine hundred forty-two million, one hundred fourteen thousand, four hundred ninety-six".