Search a number
-
+
50957392631808 = 21131317531734093
BaseRepresentation
bin10111001011000011100010…
…10010010101100000000000
320200102110221022022010101010
423211201301102111200000
523134341220003204213
6300213300352040520
713506356456466615
oct1345416122254000
9220373838263333
1050957392631808
11152669aa7586a3
12586ba73833140
1322583526b6640
14c824cb08450c
155d57baa55ac3
hex2e5871495800

50957392631808 has 768 divisors, whose sum is σ = 158783468538240. Its totient is φ = 14391252615168.

The previous prime is 50957392631801. The next prime is 50957392631813. The reversal of 50957392631808 is 80813629375905.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×509573926318083 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50957392631801) 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 63 ways as a sum of consecutive naturals, for example, 12449886210 + ... + 12449890302.

Almost surely, 250957392631808 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 50957392631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79391734269120).

50957392631808 is an abundant number, since it is smaller than the sum of its proper divisors (107826075906432).

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

50957392631808 is a wasteful number, since it uses less digits than its factorization.

50957392631808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 50957392631808 in words is "fifty trillion, nine hundred fifty-seven billion, three hundred ninety-two million, six hundred thirty-one thousand, eight hundred eight".