Search a number
-
+
113447038761 = 32724323732
BaseRepresentation
bin110100110100111111…
…0000110111100101001
3101211211022121200121100
41221221332012330221
53324314420220021
6124041123432013
711124215630100
oct1515176067451
9354738550540
10113447038761
1144126994381
1219ba1225609
13a90c6b2304
1456c2d17037
152e3ea42626
hex1a69f86f29

113447038761 has 81 divisors (see below), whose sum is σ = 195682671639. Its totient is φ = 63149520672.

The previous prime is 113447038759. The next prime is 113447038799. The reversal of 113447038761 is 167830744311.

The square root of 113447038761 is 336819.

It is a perfect power (a square), and thus also a powerful number.

113447038761 is a `hidden beast` number, since 11 + 34 + 470 + 3 + 87 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61665305625 + 51781733136 = 248325^2 + 227556^2 .

It is not a de Polignac number, because 113447038761 - 21 = 113447038759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113447038741) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 304147371 + ... + 304147743.

Almost surely, 2113447038761 is an apocalyptic number.

113447038761 is the 336819-th square number.

113447038761 is the 168410-th centered octagonal number.

It is an amenable number.

113447038761 is a deficient number, since it is larger than the sum of its proper divisors (82235632878).

113447038761 is an frugal number, since it uses more digits than its factorization.

113447038761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 113447038761 in words is "one hundred thirteen billion, four hundred forty-seven million, thirty-eight thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 373 387 441 903 1119 1849 2107 2611 2709 3357 5547 6321 7833 12943 16039 16641 18277 18963 23499 38829 48117 54831 90601 112273 116487 139129 144351 164493 271803 336819 417387 689677 785911 815409 973903 1010457 1252161 2069031 2357733 2921709 4827739 5982547 6207093 6817321 7073199 8765127 14483217 17947641 20451963 33794173 41877829 43449651 53842923 61355889 101382519 125633487 257249521 293144803 304147557 376900461 771748563 879434409 1800746647 2315245689 2638303227 5402239941 12605226529 16206719823 37815679587 113447038761