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50950880064 = 26337171271951
BaseRepresentation
bin101111011100111010…
…001011101101000000
311212111212001212212000
4233130322023231000
51313321411130224
635223450104000
73452416222560
oct573472135500
9155455055760
1050950880064
111a676497347
129a5b41b000
134a5ca6c256
142674b32da0
1514d30c20c9
hexbdce8bb40

50950880064 has 448 divisors, whose sum is σ = 182774661120. Its totient is φ = 13586227200.

The previous prime is 50950880039. The next prime is 50950880089. The reversal of 50950880064 is 46008805905.

50950880064 is a `hidden beast` number, since 5 + 0 + 9 + 508 + 80 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (50950880039) and next prime (50950880089).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×509508800642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26114289 + ... + 26116239.

Almost surely, 250950880064 is an apocalyptic number.

50950880064 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 50950880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91387330560).

50950880064 is an abundant number, since it is smaller than the sum of its proper divisors (131823781056).

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

50950880064 is a wasteful number, since it uses less digits than its factorization.

50950880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 50950880064 in words is "fifty billion, nine hundred fifty million, eight hundred eighty thousand, sixty-four".