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115646540456 = 231967113100493
BaseRepresentation
bin110101110110100010…
…0100010101010101000
3102001111121100221201002
41223231010202222220
53343321003243311
6125043254414132
711232554242346
oct1535504425250
9361447327632
10115646540456
1145055503577
121a4b5961348
13aba029abc5
1458510a4996
15301cbb193b
hex1aed122aa8

115646540456 has 64 divisors (see below), whose sum is σ = 233708846400. Its totient is φ = 53484254208.

The previous prime is 115646540411. The next prime is 115646540501. The reversal of 115646540456 is 654045646511.

It is an interprime number because it is at equal distance from previous prime (115646540411) and next prime (115646540501).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 115646540456.

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 15 ways as a sum of consecutive naturals, for example, 1100546 + ... + 1201038.

It is an arithmetic number, because the mean of its divisors is an integer number (3651700725).

Almost surely, 2115646540456 is an apocalyptic number.

It is an amenable number.

115646540456 is an abundant number, since it is smaller than the sum of its proper divisors (118062305944).

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

115646540456 is a wasteful number, since it uses less digits than its factorization.

115646540456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100698 (or 100694 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 115646540456 in words is "one hundred fifteen billion, six hundred forty-six million, five hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 19 38 67 76 113 134 152 226 268 452 536 904 1273 2147 2546 4294 5092 7571 8588 10184 15142 17176 30284 60568 100493 143849 200986 287698 401972 575396 803944 1150792 1909367 3818734 6733031 7637468 11355709 13466062 15274936 22711418 26932124 45422836 53864248 90845672 127927589 215758471 255855178 431516942 511710356 760832503 863033884 1023420712 1521665006 1726067768 3043330012 6086660024 14455817557 28911635114 57823270228 115646540456