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54898181856 = 25327235389251
BaseRepresentation
bin110011001000001011…
…111100011011100000
312020200221121120221200
4303020023330123200
51344412413304411
641115254321200
73652266563220
oct631013743340
9166627546850
1054898181856
1121311657631
12a781359200
13523b79c39b
14292b08a080
1516648d7e56
hexcc82fc6e0

54898181856 has 576 divisors, whose sum is σ = 192584770560. Its totient is φ = 14496768000.

The previous prime is 54898181813. The next prime is 54898181869. The reversal of 54898181856 is 65818189845.

54898181856 is a `hidden beast` number, since 548 + 9 + 8 + 1 + 8 + 1 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 54898181793 and 54898181802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218717731 + ... + 218717981.

It is an arithmetic number, because the mean of its divisors is an integer number (334348560).

Almost surely, 254898181856 is an apocalyptic number.

54898181856 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 54898181856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96292385280).

54898181856 is an abundant number, since it is smaller than the sum of its proper divisors (137686588704).

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

54898181856 is a wasteful number, since it uses less digits than its factorization.

54898181856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

The spelling of 54898181856 in words is "fifty-four billion, eight hundred ninety-eight million, one hundred eighty-one thousand, eight hundred fifty-six".