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50071057956864 = 215367378093
BaseRepresentation
bin10110110001010000100111…
…00111111000000000000000
320120021202011010020111000000
423120220103213320000000
523030331011314104424
6254254154304000000
713355341331166120
oct1330502347700000
9216252133214000
1050071057956864
1114a5501a95987a
125748134000000
1321c28b00ba7b9
14c51648936c80
155bc6e309e3c9
hex2d8a139f8000

50071057956864 has 896 divisors, whose sum is σ = 176250456038880. Its totient is φ = 13917647536128.

The previous prime is 50071057956863. The next prime is 50071057956877. The reversal of 50071057956864 is 46865975017005.

50071057956864 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 1 + 0 + 5 + 7 + 9 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×500710579568642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50071057956863) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6186954802 + ... + 6186962894.

Almost surely, 250071057956864 is an apocalyptic number.

50071057956864 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 50071057956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88125228019440).

50071057956864 is an abundant number, since it is smaller than the sum of its proper divisors (126179398082016).

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

50071057956864 is an frugal number, since it uses more digits than its factorization.

50071057956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 50071057956864 in words is "fifty trillion, seventy-one billion, fifty-seven million, nine hundred fifty-six thousand, eight hundred sixty-four".