Search a number
-
+
113246088876 = 223315760711003
BaseRepresentation
bin110100101110111111…
…1100010111010101100
3101211022022111101012000
41221131333202322230
53323411444321001
6124005144412300
711116225605264
oct1513577427254
9354268441160
10113246088876
1144033512798
1219b45a77090
13a8a9b8485b
1456a43687a4
152e2c09ba86
hex1a5dfe2eac

113246088876 has 96 divisors (see below), whose sum is σ = 295984711680. Its totient is φ = 37443062592.

The previous prime is 113246088853. The next prime is 113246088877. The reversal of 113246088876 is 678880642311.

113246088876 is a `hidden beast` number, since 1 + 1 + 3 + 24 + 608 + 8 + 8 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (113246088877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10286791 + ... + 10297793.

It is an arithmetic number, because the mean of its divisors is an integer number (3083174080).

Almost surely, 2113246088876 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 113246088876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147992355840).

113246088876 is an abundant number, since it is smaller than the sum of its proper divisors (182738622804).

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

113246088876 is a wasteful number, since it uses less digits than its factorization.

113246088876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 113246088876 in words is "one hundred thirteen billion, two hundred forty-six million, eighty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 607 628 942 1214 1413 1821 1884 2428 2826 3642 4239 5463 5652 7284 8478 10926 11003 16389 16956 21852 22006 32778 33009 44012 65556 66018 95299 99027 132036 190598 198054 285897 297081 381196 396108 571794 594162 857691 1143588 1188324 1715382 1727471 2573073 3430764 3454942 5146146 5182413 6678821 6909884 10292292 10364826 13357642 15547239 20036463 20729652 26715284 31094478 40072926 46641717 60109389 62188956 80145852 93283434 120218778 180328167 186566868 240437556 360656334 721312668 1048574897 2097149794 3145724691 4194299588 6291449382 9437174073 12582898764 18874348146 28311522219 37748696292 56623044438 113246088876