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54579401856 = 27377223173
BaseRepresentation
bin110010110101001011…
…111001010010000000
312012212201202220000000
4302311023321102000
51343234311324411
641023510000000
73641346155400
oct626513712200
9165781686000
1054579401856
1121168716491
12a6b2646000
1351ba727575
1428da9c8800
151646919956
hexcb52f9480

54579401856 has 768 divisors, whose sum is σ = 199089964800. Its totient is φ = 14829889536.

The previous prime is 54579401839. The next prime is 54579401869. The reversal of 54579401856 is 65810497545.

It is a happy number.

54579401856 is a `hidden beast` number, since 5 + 4 + 579 + 4 + 0 + 18 + 56 = 666.

It is a super-2 number, since 2×545794018562 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315487786 + ... + 315487958.

It is an arithmetic number, because the mean of its divisors is an integer number (259231725).

Almost surely, 254579401856 is an apocalyptic number.

54579401856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54579401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99544982400).

54579401856 is an abundant number, since it is smaller than the sum of its proper divisors (144510562944).

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

54579401856 is an equidigital number, since it uses as much as digits as its factorization.

54579401856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 54579401856 in words is "fifty-four billion, five hundred seventy-nine million, four hundred one thousand, eight hundred fifty-six".