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50037934464 = 2733722329443
BaseRepresentation
bin101110100110011111…
…100100100110000000
311210011020012102221000
4232212133210212000
51304434202400324
634553114332000
73420662265600
oct564637444600
9153136172830
1050037934464
111a248122851
12984572a000
13494589235b
1425c97a6c00
15147cd899c9
hexba67e4980

50037934464 has 768 divisors, whose sum is σ = 185861952000. Its totient is φ = 13173608448.

The previous prime is 50037934439. The next prime is 50037934469. The reversal of 50037934464 is 46443973005.

50037934464 is a `hidden beast` number, since 500 + 3 + 79 + 34 + 46 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50037934469) 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 95 ways as a sum of consecutive naturals, for example, 112952227 + ... + 112952669.

It is an arithmetic number, because the mean of its divisors is an integer number (242007750).

Almost surely, 250037934464 is an apocalyptic number.

50037934464 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 50037934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92930976000).

50037934464 is an abundant number, since it is smaller than the sum of its proper divisors (135824017536).

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

50037934464 is a wasteful number, since it uses less digits than its factorization.

50037934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 50037934464 in words is "fifty billion, thirty-seven million, nine hundred thirty-four thousand, four hundred sixty-four".