Search a number
-
+
264510510514056 = 233223159728569151
BaseRepresentation
bin111100001001001000100111…
…000001001011111110001000
31021200112221212021022102110200
4330021020213001023332020
5234132220011142422211
62334322241230012200
7106500153014245122
oct7411104701137610
91250487767272420
10264510510514056
1177310306457274
12257bbaaa947060
13b479307467941
14494653c774212
15208a7d3331b56
hexf0922704bf88

264510510514056 has 48 divisors (see below), whose sum is σ = 747529703631360. Its totient is φ = 84336684511200.

The previous prime is 264510510514037. The next prime is 264510510514073. The reversal of 264510510514056 is 650415015015462.

264510510514056 is a `hidden beast` number, since 2 + 6 + 45 + 1 + 0 + 510 + 5 + 1 + 40 + 56 = 666.

It is a super-2 number, since 2×2645105105140562 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79864282920 + ... + 79864286231.

It is an arithmetic number, because the mean of its divisors is an integer number (15573535492320).

Almost surely, 2264510510514056 is an apocalyptic number.

It is an amenable number.

264510510514056 is an abundant number, since it is smaller than the sum of its proper divisors (483019193117304).

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

264510510514056 is a wasteful number, since it uses less digits than its factorization.

264510510514056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159728569186 (or 159728569179 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 264510510514056 in words is "two hundred sixty-four trillion, five hundred ten billion, five hundred ten million, five hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 159728569151 319457138302 479185707453 638914276604 958371414906 1277828553208 1437557122359 1916742829812 2875114244718 3673757090473 3833485659624 5750228489436 7347514180946 11021271271419 11500456978872 14695028361892 22042542542838 29390056723784 33063813814257 44085085085676 66127627628514 88170170171352 132255255257028 264510510514056