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115315292864 = 26127120111813
BaseRepresentation
bin110101101100101010…
…0111011101011000000
3102000122112001211102202
41223121110323223000
53342131203332424
6124550342532332
711221422550052
oct1533124735300
9360575054382
10115315292864
11449a5527332
121a422a370a8
13ab4977c305
14581d0b98d2
152eeda7e2ae
hex1ad953bac0

115315292864 has 56 divisors (see below), whose sum is σ = 230842157568. Its totient is φ = 57151180800.

The previous prime is 115315292779. The next prime is 115315292881. The reversal of 115315292864 is 468292513511.

115315292864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9755822 + ... + 9767634.

Almost surely, 2115315292864 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 115315292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115421078784).

115315292864 is an abundant number, since it is smaller than the sum of its proper divisors (115526864704).

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

115315292864 is a wasteful number, since it uses less digits than its factorization.

115315292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13153 (or 13143 counting only the distinct ones).

The product of its digits is 518400, while the sum is 47.

The spelling of 115315292864 in words is "one hundred fifteen billion, three hundred fifteen million, two hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 1201 2032 2402 4064 4804 8128 9608 11813 19216 23626 38432 47252 76864 94504 152527 189008 305054 378016 610108 756032 1220216 1500251 2440432 3000502 4880864 6001004 9761728 12002008 14187413 24004016 28374826 48008032 56749652 96016064 113499304 226998608 453997216 907994432 1801801451 3603602902 7207205804 14414411608 28828823216 57657646432 115315292864