Search a number
-
+
909136472742 = 232563605314821
BaseRepresentation
bin11010011101011001100…
…00011010101010100110
310012220122021122222122200
431032230300122222212
5104343402414111432
61533352421435330
7122453151341211
oct15165460325246
93186567588580
10909136472742
11320620924013
12128243b6bb46
13679675b00b4
14320069a4778
15189ae6b4a7c
hexd3acc1aaa6

909136472742 has 48 divisors (see below), whose sum is σ = 1973753606448. Its totient is φ = 302436838080.

The previous prime is 909136472723. The next prime is 909136472759. The reversal of 909136472742 is 247274631909.

909136472742 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 364 + 7 + 274 + 2 = 666.

909136472742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61333692 + ... + 61348512.

It is an arithmetic number, because the mean of its divisors is an integer number (41119866801).

Almost surely, 2909136472742 is an apocalyptic number.

909136472742 is an abundant number, since it is smaller than the sum of its proper divisors (1064617133706).

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

909136472742 is a wasteful number, since it uses less digits than its factorization.

909136472742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21445 (or 21442 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 909136472742 in words is "nine hundred nine billion, one hundred thirty-six million, four hundred seventy-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 563 1126 1689 3378 5067 6053 10134 12106 14821 18159 29642 36318 44463 54477 88926 108954 133389 266778 3407839 6815678 8344223 10223517 16688446 20447034 25032669 30670551 50065338 61341102 75098007 89711513 150196014 179423026 269134539 538269078 807403617 1614807234 50507581819 101015163638 151522745457 303045490914 454568236371 909136472742