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54528788196 = 2234129732
BaseRepresentation
bin110010110010001010…
…110100011011100100
312012202012112110010000
4302302022310123210
51343133332210241
641014501101300
73640163023611
oct626212643344
9165665473100
1054528788196
1121142096713
12a6996b7830
1351b00b5a5c
1428d3db1508
15164226ceb6
hexcb22b46e4

54528788196 has 45 divisors (see below), whose sum is σ = 142560012441. Its totient is φ = 18174861648.

The previous prime is 54528788183. The next prime is 54528788203. The reversal of 54528788196 is 69188782545.

The square root of 54528788196 is 233514.

It is a perfect power (a square), and thus also a powerful number.

54528788196 is a `hidden beast` number, since 545 + 2 + 8 + 7 + 8 + 81 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209960100 + 54318828096 = 14490^2 + 233064^2 .

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 4196766 + ... + 4209738.

Almost surely, 254528788196 is an apocalyptic number.

54528788196 is the 233514-th square number.

It is an amenable number.

54528788196 is an abundant number, since it is smaller than the sum of its proper divisors (88031224245).

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

54528788196 is an frugal number, since it uses more digits than its factorization.

54528788196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25962 (or 12978 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

It can be divided in two parts, 54528 and 788196, that added together give a square (842724 = 9182).

The spelling of 54528788196 in words is "fifty-four billion, five hundred twenty-eight million, seven hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 12973 25946 38919 51892 77838 116757 155676 233514 350271 467028 700542 1050813 1401084 2101626 4203252 168298729 336597458 504896187 673194916 1009792374 1514688561 2019584748 3029377122 4544065683 6058754244 9088131366 13632197049 18176262732 27264394098 54528788196