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54327743340 = 2235132914891613
BaseRepresentation
bin110010100110001011…
…111001001101101100
312012020012020022102020
4302212023321031230
51342230400241330
640542520030140
73632202125163
oct624613711554
9165205208366
1054327743340
112104965a742
12a642302350
13517a553cc0
1428b53da3da
15162e7a9210
hexca62f936c

54327743340 has 192 divisors, whose sum is σ = 169686921600. Its totient is φ = 12895174656.

The previous prime is 54327743329. The next prime is 54327743363. The reversal of 54327743340 is 4334772345.

It is a junction number, because it is equal to n+sod(n) for n = 54327743292 and 54327743301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33680374 + ... + 33681986.

It is an arithmetic number, because the mean of its divisors is an integer number (883786050).

Almost surely, 254327743340 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 54327743340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84843460800).

54327743340 is an abundant number, since it is smaller than the sum of its proper divisors (115359178260).

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

54327743340 is a wasteful number, since it uses less digits than its factorization.

54327743340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 42.

The spelling of 54327743340 in words is "fifty-four billion, three hundred twenty-seven million, seven hundred forty-three thousand, three hundred forty".