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54560412882 = 23219617258563
BaseRepresentation
bin110010110100000011…
…011101010011010010
312012211102001011000200
4302310003131103102
51343214431203012
641021551000030
73641025600063
oct626403352322
9165742034020
1054560412882
1121158a26818
12a6a8209016
1351b68093a1
1428d828456a
151644e183dc
hexcb40dd4d2

54560412882 has 48 divisors (see below), whose sum is σ = 124638190560. Its totient is φ = 17201612736.

The previous prime is 54560412869. The next prime is 54560412887. The reversal of 54560412882 is 28821406545.

54560412882 is a `hidden beast` number, since 5 + 4 + 560 + 4 + 1 + 2 + 8 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (54560412887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81733 + ... + 340295.

It is an arithmetic number, because the mean of its divisors is an integer number (2596628970).

Almost surely, 254560412882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54560412882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62319095280).

54560412882 is an abundant number, since it is smaller than the sum of its proper divisors (70077777678).

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

54560412882 is a wasteful number, since it uses less digits than its factorization.

54560412882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259207 (or 259204 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 54560412882 in words is "fifty-four billion, five hundred sixty million, four hundred twelve thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 617 1234 1851 3702 5553 11106 11723 23446 35169 70338 105507 211014 258563 517126 775689 1551378 2327067 4654134 4912697 9825394 14738091 29476182 44214273 88428546 159533371 319066742 478600113 957200226 1435800339 2871600678 3031134049 6062268098 9093402147 18186804294 27280206441 54560412882