Search a number
-
+
12335661090 = 2325137062901
BaseRepresentation
bin10110111110100001…
…10100000000100010
31011211200201111210200
423133100310000202
5200230412123330
65400020010030
7614455250334
oct133720640042
934750644720
1012335661090
115260182835
122483230916
13121786a25c
14850435454
154c2e75a60
hex2df434022

12335661090 has 24 divisors (see below), whose sum is σ = 32072719068. Its totient is φ = 3289509600.

The previous prime is 12335661073. The next prime is 12335661113. The reversal of 12335661090 is 9016653321.

12335661090 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 566 + 1 + 0 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12321666009 + 13995081 = 111003^2 + 3741^2 .

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, 68531361 + ... + 68531540.

Almost surely, 212335661090 is an apocalyptic number.

12335661090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12335661090 is an abundant number, since it is smaller than the sum of its proper divisors (19737057978).

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

12335661090 is a wasteful number, since it uses less digits than its factorization.

12335661090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137062914 (or 137062911 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 12335661090 in words is "twelve billion, three hundred thirty-five million, six hundred sixty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137062901 274125802 411188703 685314505 822377406 1233566109 1370629010 2055943515 2467132218 4111887030 6167830545 12335661090