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54882056196 = 223311293157669
BaseRepresentation
bin110011000111001110…
…011011100000000100
312020122211021022201000
4303013032123200010
51344344301244241
641113520533300
73652012531512
oct630716334004
9166584238630
1054882056196
1121303543140
12a777a81230
135238344586
142928c8d4b2
15166329eeb6
hexcc739b804

54882056196 has 96 divisors (see below), whose sum is σ = 155752732800. Its totient is φ = 16574060160.

The previous prime is 54882056171. The next prime is 54882056231. The reversal of 54882056196 is 69165028845.

54882056196 is a `hidden beast` number, since 5 + 488 + 20 + 56 + 1 + 96 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269250 + ... + 426918.

It is an arithmetic number, because the mean of its divisors is an integer number (1622424300).

Almost surely, 254882056196 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 54882056196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77876366400).

54882056196 is an abundant number, since it is smaller than the sum of its proper divisors (100870676604).

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

54882056196 is a wasteful number, since it uses less digits than its factorization.

54882056196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157986 (or 157978 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 54882056196 in words is "fifty-four billion, eight hundred eighty-two million, fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 293 297 396 586 594 879 1172 1188 1758 2637 3223 3516 5274 6446 7911 9669 10548 12892 15822 19338 29007 31644 38676 58014 87021 116028 157669 174042 315338 348084 473007 630676 946014 1419021 1734359 1892028 2838042 3468718 4257063 5203077 5676084 6937436 8514126 10406154 15609231 17028252 20812308 31218462 46197017 46827693 62436924 92394034 93655386 138591051 184788068 187310772 277182102 415773153 508167187 554364204 831546306 1016334374 1247319459 1524501561 1663092612 2032668748 2494638918 3049003122 4573504683 4989277836 6098006244 9147009366 13720514049 18294018732 27441028098 54882056196