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54522091008 = 29337111723131
BaseRepresentation
bin110010110001110001…
…010001011000000000
312012201201221012022000
4302301301101120000
51343130123403013
641014101344000
73640052061360
oct626161213000
9165651835260
1054522091008
1121139331a50
12a697408000
1351ab8ac618
1428d314a9a0
151641898973
hexcb1c51600

54522091008 has 1280 divisors, whose sum is σ = 224008519680. Its totient is φ = 12651724800.

The previous prime is 54522090989. The next prime is 54522091009. The reversal of 54522091008 is 80019022545.

54522091008 is a `hidden beast` number, since 545 + 2 + 2 + 0 + 9 + 100 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54522091009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416199103 + ... + 416199233.

It is an arithmetic number, because the mean of its divisors is an integer number (175006656).

Almost surely, 254522091008 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 54522091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112004259840).

54522091008 is an abundant number, since it is smaller than the sum of its proper divisors (169486428672).

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

54522091008 is a wasteful number, since it uses less digits than its factorization.

54522091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 54522091008 in words is "fifty-four billion, five hundred twenty-two million, ninety-one thousand, eight".