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255556952064 = 213325216653
BaseRepresentation
bin1110111000000001100…
…0011010000000000000
3220102122012111021021200
43232000120122000000
513141340034431224
6313222400221200
724314640152121
oct3560030320000
9812565437250
10255556952064
1199421267617
124164160a800
131b1394233cb
14c524852048
1569aaad85c9
hex3b8061a000

255556952064 has 168 divisors, whose sum is σ = 739758702852. Its totient is φ = 85009367040.

The previous prime is 255556952023. The next prime is 255556952083. The reversal of 255556952064 is 460259655552.

It is a happy number.

255556952064 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 56 + 9 + 520 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212159729664 + 43397222400 = 460608^2 + 208320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 255556952064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38408962 + ... + 38415614.

Almost surely, 2255556952064 is an apocalyptic number.

255556952064 is a gapful number since it is divisible by the number (24) 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 255556952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369879351426).

255556952064 is an abundant number, since it is smaller than the sum of its proper divisors (484201750788).

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

255556952064 is an equidigital number, since it uses as much as digits as its factorization.

255556952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 255556952064 in words is "two hundred fifty-five billion, five hundred fifty-six million, nine hundred fifty-two thousand, sixty-four".