Search a number
-
+
12688968090 = 2351632594881
BaseRepresentation
bin10111101000101001…
…00100100110011010
31012202022112100220010
423310110210212122
5201441333434330
65455040342350
7626305310031
oct136424444632
935668470803
1012688968090
115421656597
1225616149b6
131272b10756
14885323718
154e3eb43b0
hex2f452499a

12688968090 has 32 divisors (see below), whose sum is σ = 30640366656. Its totient is φ = 3362964480.

The previous prime is 12688968043. The next prime is 12688968161. The reversal of 12688968090 is 9086988621.

It is a super-2 number, since 2×126889680902 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 12688968090.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292551 + ... + 1302330.

It is an arithmetic number, because the mean of its divisors is an integer number (957511458).

Almost surely, 212688968090 is an apocalyptic number.

12688968090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12688968090 is an abundant number, since it is smaller than the sum of its proper divisors (17951398566).

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

12688968090 is a wasteful number, since it uses less digits than its factorization.

12688968090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595054.

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 12688968090 in words is "twelve billion, six hundred eighty-eight million, nine hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 163 326 489 815 978 1630 2445 4890 2594881 5189762 7784643 12974405 15569286 25948810 38923215 77846430 422965603 845931206 1268896809 2114828015 2537793618 4229656030 6344484045 12688968090