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15116155056 = 2432104973299
BaseRepresentation
bin11100001001111111…
…00011100010110000
31110000110201020110200
432010333203202300
5221424213430211
610535543355200
71043410124622
oct160477434260
943013636420
1015116155056
116457748032
122b1a452b00
13156b927b62
14a3581cc12
155d710ab56
hex384fe38b0

15116155056 has 30 divisors (see below), whose sum is σ = 42304239900. Its totient is φ = 5038718304.

The previous prime is 15116155051. The next prime is 15116155073. The reversal of 15116155056 is 65055161151.

It is a happy number.

15116155056 is a `hidden beast` number, since 1 + 51 + 1 + 6 + 1 + 550 + 56 = 666.

15116155056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 15116155056.

It is not an unprimeable number, because it can be changed into a prime (15116155051) 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 5 ways as a sum of consecutive naturals, for example, 52486506 + ... + 52486793.

It is an arithmetic number, because the mean of its divisors is an integer number (1410141330).

Almost surely, 215116155056 is an apocalyptic number.

15116155056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15116155056 is an abundant number, since it is smaller than the sum of its proper divisors (27188084844).

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

15116155056 is a wasteful number, since it uses less digits than its factorization.

15116155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104973313 (or 104973304 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 15116155056 in words is "fifteen billion, one hundred sixteen million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 104973299 209946598 314919897 419893196 629839794 839786392 944759691 1259679588 1679572784 1889519382 2519359176 3779038764 5038718352 7558077528 15116155056