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54506898432 = 2103871961
BaseRepresentation
bin110010110000110111…
…010100010000000000
312012200200100100000000
4302300313110100000
51343112231222212
641012400000000
73636505664220
oct626067242000
9165620310000
1054506898432
11211307a55a8
12a692300000
1351a86c042c
1428d1114080
1516403971dc
hexcb0dd4400

54506898432 has 792 divisors, whose sum is σ = 199833707840. Its totient is φ = 14511882240.

The previous prime is 54506898403. The next prime is 54506898437. The reversal of 54506898432 is 23489860545.

54506898432 is a `hidden beast` number, since 5 + 4 + 506 + 8 + 98 + 43 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54506898437) 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 71 ways as a sum of consecutive naturals, for example, 893555682 + ... + 893555742.

Almost surely, 254506898432 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 54506898432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99916853920).

54506898432 is an abundant number, since it is smaller than the sum of its proper divisors (145326809408).

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

54506898432 is an frugal number, since it uses more digits than its factorization.

54506898432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 54506898432 in words is "fifty-four billion, five hundred six million, eight hundred ninety-eight thousand, four hundred thirty-two".