Search a number
-
+
12690905328 = 2432101872587
BaseRepresentation
bin10111101000110111…
…11101100011110000
31012202110011210021200
423310123331203300
5201442332432303
65455150051200
7626330625663
oct136433754360
935673153250
1012690905328
11542275a012
1225621a9b00
13127333b44a
148856a96da
154e42483a3
hex2f46fd8f0

12690905328 has 60 divisors (see below), whose sum is σ = 35868602328. Its totient is φ = 4188412800.

The previous prime is 12690905327. The next prime is 12690905329. The reversal of 12690905328 is 82350909621.

12690905328 is a `hidden beast` number, since 1 + 26 + 9 + 0 + 90 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12690905327) and next prime (12690905329).

It is a super-2 number, since 2×126909053282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12690905327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421750 + ... + 450837.

Almost surely, 212690905328 is an apocalyptic number.

12690905328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12690905328 is an abundant number, since it is smaller than the sum of its proper divisors (23177697000).

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

12690905328 is a wasteful number, since it uses less digits than its factorization.

12690905328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872702 (or 872693 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12690905328 in words is "twelve billion, six hundred ninety million, nine hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 872587 1745174 2617761 3490348 5235522 6980696 7853283 10471044 13961392 15706566 20942088 31413132 41884176 62826264 88131287 125652528 176262574 264393861 352525148 528787722 705050296 793181583 1057575444 1410100592 1586363166 2115150888 3172726332 4230301776 6345452664 12690905328