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54726823128 = 233192291391567
BaseRepresentation
bin110010111101111110…
…010000110011011000
312020021000011122222010
4302331332100303120
51344040031320003
641050253425520
73645116215125
oct627576206330
9166230148863
1054726823128
112123395724a
12a733a9b2a0
1352121327a3
14291240174c
15165483a003
hexcbdf90cd8

54726823128 has 192 divisors, whose sum is σ = 150546816000. Its totient is φ = 16555601664.

The previous prime is 54726823069. The next prime is 54726823153. The reversal of 54726823128 is 82132862745.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34923801 + ... + 34925367.

It is an arithmetic number, because the mean of its divisors is an integer number (784098000).

Almost surely, 254726823128 is an apocalyptic number.

54726823128 is a gapful number since it is divisible by the number (58) 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 54726823128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75273408000).

54726823128 is an abundant number, since it is smaller than the sum of its proper divisors (95819992872).

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

54726823128 is a wasteful number, since it uses less digits than its factorization.

54726823128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1759 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 54726823128 in words is "fifty-four billion, seven hundred twenty-six million, eight hundred twenty-three thousand, one hundred twenty-eight".