Search a number
-
+
50995861862400 = 21132527131964007
BaseRepresentation
bin10111001100001011001100…
…01110110011100000000000
320200120011020021221112000100
423212011212032303200000
523141004011114044100
6300243101525122400
713512220665531060
oct1346054616634000
9220504207845010
1050995861862400
111528125061aa54
12587740ab59400
13225bb73592690
14c842da21d3a0
155d67bce66400
hex2e61663b3800

50995861862400 has 1728 divisors, whose sum is σ = 236614430707200. Its totient is φ = 10193114234880.

The previous prime is 50995861862299. The next prime is 50995861862411. The reversal of 50995861862400 is 426816859905.

50995861862400 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 5 + 8 + 618 + 6 + 2 + 4 + 0 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 796691197 + ... + 796755203.

It is an arithmetic number, because the mean of its divisors is an integer number (136929647400).

Almost surely, 250995861862400 is an apocalyptic number.

50995861862400 is a gapful number since it is divisible by the number (50) 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 50995861862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118307215353600).

50995861862400 is an abundant number, since it is smaller than the sum of its proper divisors (185618568844800).

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

50995861862400 is a wasteful number, since it uses less digits than its factorization.

50995861862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64084 (or 64056 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 50995861862400 in words is "fifty trillion, nine hundred ninety-five billion, eight hundred sixty-one million, eight hundred sixty-two thousand, four hundred".