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55267875360 = 25325411635743
BaseRepresentation
bin110011011110001110…
…001101101000100000
312021122201020222002200
4303132032031220200
51401142034002420
641220102213200
73664406121645
oct633616155040
9167581228080
1055267875360
1121491302855
12a865124200
13529a25c339
142964201dcc
1516870b1b90
hexcde38da20

55267875360 has 288 divisors, whose sum is σ = 194420798208. Its totient is φ = 14287933440.

The previous prime is 55267875343. The next prime is 55267875371. The reversal of 55267875360 is 6357876255.

55267875360 is a `hidden beast` number, since 5 + 5 + 26 + 7 + 87 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 55267875297 and 55267875306.

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 47 ways as a sum of consecutive naturals, for example, 9620649 + ... + 9626391.

It is an arithmetic number, because the mean of its divisors is an integer number (675072216).

Almost surely, 255267875360 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 55267875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97210399104).

55267875360 is an abundant number, since it is smaller than the sum of its proper divisors (139152922848).

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

55267875360 is a wasteful number, since it uses less digits than its factorization.

55267875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 55267875360 in words is "fifty-five billion, two hundred sixty-seven million, eight hundred seventy-five thousand, three hundred sixty".