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54643138560 = 213325148229
BaseRepresentation
bin110010111000111111…
…000010000000000000
312020001011201001022200
4302320333002000000
51343402120413220
641034104033200
73643052004603
oct627077020000
9166034631280
1054643138560
11211a069984a
12a70ba62800
1351ca9b22aa
14290525a33a
15164c309890
hexcb8fc2000

54643138560 has 168 divisors, whose sum is σ = 189419263020. Its totient is φ = 14571405312.

The previous prime is 54643138549. The next prime is 54643138643. The reversal of 54643138560 is 6583134645.

54643138560 is a `hidden beast` number, since 5 + 46 + 43 + 1 + 3 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49347956736 + 5295181824 = 222144^2 + 72768^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294526 + ... + 442754.

Almost surely, 254643138560 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 54643138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94709631510).

54643138560 is an abundant number, since it is smaller than the sum of its proper divisors (134776124460).

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

54643138560 is a wasteful number, since it uses less digits than its factorization.

54643138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148266 (or 148239 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54643138560 in words is "fifty-four billion, six hundred forty-three million, one hundred thirty-eight thousand, five hundred sixty".