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5057491123944 = 2334773971011559
BaseRepresentation
bin100100110011000100111…
…1101100011111011101000
3122220111021020210211020000
41021212021331203323220
51130330220211431234
614431213534503000
71031251226152320
oct111461175437350
918814236724200
105057491123944
11167a962988936
12698213664a60
132a8bc4b04bbc
14136ad8d58280
158b854a93899
hex49989f63ee8

5057491123944 has 640 divisors, whose sum is σ = 16755183244800. Its totient is φ = 1395648921600.

The previous prime is 5057491123873. The next prime is 5057491123957. The reversal of 5057491123944 is 4493211947505.

5057491123944 is a `hidden beast` number, since 5 + 0 + 57 + 491 + 12 + 3 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3244060237 + ... + 3244061795.

It is an arithmetic number, because the mean of its divisors is an integer number (26179973820).

Almost surely, 25057491123944 is an apocalyptic number.

5057491123944 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 5057491123944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377591622400).

5057491123944 is an abundant number, since it is smaller than the sum of its proper divisors (11697692120856).

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

5057491123944 is a wasteful number, since it uses less digits than its factorization.

5057491123944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5057491123944 in words is "five trillion, fifty-seven billion, four hundred ninety-one million, one hundred twenty-three thousand, nine hundred forty-four".