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54468525760 = 26511137179631
BaseRepresentation
bin110010101110100100…
…111011111011000000
312012121000010210120221
4302232210323323000
51343022420311020
641004505312424
73635531554435
oct625644737300
9165530123527
1054468525760
1121111076650
12a681495714
1351a07764cc
1428c9da5b8c
15163bd176aa
hexcae93bec0

54468525760 has 224 divisors, whose sum is σ = 143550558720. Its totient is φ = 19521331200.

The previous prime is 54468525739. The next prime is 54468525781. The reversal of 54468525760 is 6752586445.

It is an interprime number because it is at equal distance from previous prime (54468525739) and next prime (54468525781).

It is a junction number, because it is equal to n+sod(n) for n = 54468525698 and 54468525707.

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 31 ways as a sum of consecutive naturals, for example, 86320645 + ... + 86321275.

Almost surely, 254468525760 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 54468525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71775279360).

54468525760 is an abundant number, since it is smaller than the sum of its proper divisors (89082032960).

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

54468525760 is a wasteful number, since it uses less digits than its factorization.

54468525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 54468525760 in words is "fifty-four billion, four hundred sixty-eight million, five hundred twenty-five thousand, seven hundred sixty".