Search a number
-
+
12322880576 = 261711326177
BaseRepresentation
bin10110111101000000…
…00011110001000000
31011210210200012020022
423132200003301000
5200214124134301
65354442033012
7614241520346
oct133640036100
934723605208
1012322880576
115253a43626
12247aaa8768
131215013c16
1484c869996
154c1c9dd1b
hex2de803c40

12322880576 has 28 divisors (see below), whose sum is σ = 25891642908. Its totient is φ = 5799002112.

The previous prime is 12322880569. The next prime is 12322880579. The reversal of 12322880576 is 67508822321.

It can be written as a sum of positive squares in 2 ways, for example, as 6056574976 + 6266305600 = 77824^2 + 79160^2 .

It is not an unprimeable number, because it can be changed into a prime (12322880579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5662001 + ... + 5664176.

Almost surely, 212322880576 is an apocalyptic number.

12322880576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12322880576 is an abundant number, since it is smaller than the sum of its proper divisors (13568762332).

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

12322880576 is a wasteful number, since it uses less digits than its factorization.

12322880576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326206 (or 11326196 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 12322880576 in words is "twelve billion, three hundred twenty-two million, eight hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 11326177 22652354 45304708 90609416 181218832 192545009 362437664 385090018 724875328 770180036 1540360072 3080720144 6161440288 12322880576