Search a number
-
+
12672249280 = 265231721773
BaseRepresentation
bin10111100110101001…
…10010110111000000
31012201011001221222221
423303110302313000
5201423043434110
65453242140424
7626013225115
oct136324626700
935634057887
1012672249280
115413177499
122557ab1714
13126c508972
1488301090c
154e27b07da
hex2f3532dc0

12672249280 has 56 divisors (see below), whose sum is σ = 31487802912. Its totient is φ = 4848509952.

The previous prime is 12672249263. The next prime is 12672249307. The reversal of 12672249280 is 8294227621.

It is a happy number.

12672249280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853527 + ... + 868246.

Almost surely, 212672249280 is an apocalyptic number.

12672249280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12672249280 is an abundant number, since it is smaller than the sum of its proper divisors (18815553632).

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

12672249280 is a wasteful number, since it uses less digits than its factorization.

12672249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721813 (or 1721803 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 12672249280 in words is "twelve billion, six hundred seventy-two million, two hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 1721773 3443546 6887092 8608865 13774184 17217730 27548368 34435460 39600779 55096736 68870920 79201558 110193472 137741840 158403116 198003895 275483680 316806232 396007790 550967360 633612464 792015580 1267224928 1584031160 2534449856 3168062320 6336124640 12672249280