Search a number
-
+
12029435946 = 2321125523157
BaseRepresentation
bin10110011010000001…
…01010000000101010
31011001100111122212200
423031000222000222
5144114013422241
65305400321030
7604046342553
oct131500520052
934040448780
1012029435946
115113337300
1223b8773176
13119929cb48
148218c132a
154a61374b6
hex2cd02a02a

12029435946 has 36 divisors (see below), whose sum is σ = 28648620546. Its totient is φ = 3645282960.

The previous prime is 12029435923. The next prime is 12029435947. The reversal of 12029435946 is 64953492021.

12029435946 is a `hidden beast` number, since 1 + 2 + 0 + 294 + 359 + 4 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11270157921 + 759278025 = 106161^2 + 27555^2 .

It is not an unprimeable number, because it can be changed into a prime (12029435947) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2759401 + ... + 2763756.

Almost surely, 212029435946 is an apocalyptic number.

12029435946 is an abundant number, since it is smaller than the sum of its proper divisors (16619184600).

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

12029435946 is a wasteful number, since it uses less digits than its factorization.

12029435946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523187 (or 5523173 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12029435946 in words is "twelve billion, twenty-nine million, four hundred thirty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 5523157 11046314 16569471 33138942 49708413 60754727 99416826 121509454 182264181 364528362 546792543 668301997 1093585086 1336603994 2004905991 4009811982 6014717973 12029435946