Search a number
-
+
12353342436 = 22321709200789
BaseRepresentation
bin10111000000101000…
…10000101111100100
31011212220222211001100
423200110100233210
5200244423424221
65401451000100
7615061451421
oct134024205744
934786884040
1012353342436
11526a15a016
122489139030
13121b41b1a6
14852918d48
154c47b9926
hex2e0510be4

12353342436 has 36 divisors (see below), whose sum is σ = 31244931900. Its totient is φ = 4115350848.

The previous prime is 12353342411. The next prime is 12353342447. The reversal of 12353342436 is 63424335321.

It can be written as a sum of positive squares in 2 ways, for example, as 4971096036 + 7382246400 = 70506^2 + 85920^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12353342436.

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, 38871 + ... + 161918.

It is an arithmetic number, because the mean of its divisors is an integer number (867914775).

Almost surely, 212353342436 is an apocalyptic number.

It is an amenable number.

12353342436 is an abundant number, since it is smaller than the sum of its proper divisors (18891589464).

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

12353342436 is a wasteful number, since it uses less digits than its factorization.

12353342436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202508 (or 202503 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 12353342436 its reverse (63424335321), we get a palindrome (75777677757).

The spelling of 12353342436 in words is "twelve billion, three hundred fifty-three million, three hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1709 3418 5127 6836 10254 15381 20508 30762 61524 200789 401578 602367 803156 1204734 1807101 2409468 3614202 7228404 343148401 686296802 1029445203 1372593604 2058890406 3088335609 4117780812 6176671218 12353342436