Search a number
-
+
115661615112 = 23321606411321
BaseRepresentation
bin110101110110111111…
…0000011000000001000
3102001112122201211020200
41223231332003000020
53343333333140422
6125044553452200
711233126335651
oct1535576030010
9361478654220
10115661615112
1145062a6a36a
121a4baa11060
13aba3448514
1458530aa528
15301e18d2ac
hex1aedf83008

115661615112 has 24 divisors (see below), whose sum is σ = 313250207790. Its totient is φ = 38553871680.

The previous prime is 115661615093. The next prime is 115661615117. The reversal of 115661615112 is 211516166511.

115661615112 is a `hidden beast` number, since 1 + 15 + 6 + 616 + 15 + 1 + 12 = 666.

115661615112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112336247556 + 3325367556 = 335166^2 + 57666^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (115661615117) 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, 803205589 + ... + 803205732.

Almost surely, 2115661615112 is an apocalyptic number.

115661615112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115661615112 is an abundant number, since it is smaller than the sum of its proper divisors (197588592678).

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

115661615112 is a wasteful number, since it uses less digits than its factorization.

115661615112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606411333 (or 1606411326 counting only the distinct ones).

The product of its digits is 10800, while the sum is 36.

The spelling of 115661615112 in words is "one hundred fifteen billion, six hundred sixty-one million, six hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1606411321 3212822642 4819233963 6425645284 9638467926 12851290568 14457701889 19276935852 28915403778 38553871704 57830807556 115661615112