Search a number
-
+
12720892608 = 2632145915137
BaseRepresentation
bin10111101100011100…
…10110101011000000
31012211112121022002200
423312032112223000
5202023022030413
65502140513200
7630143542314
oct136616265300
935745538080
1012720892608
115438680996
12257024b800
13127960a6b8
14889673b44
154e6bbd573
hex2f6396ac0

12720892608 has 84 divisors (see below), whose sum is σ = 36489543480. Its totient is φ = 4237111296.

The previous prime is 12720892579. The next prime is 12720892621. The reversal of 12720892608 is 80629802721.

12720892608 is a `hidden beast` number, since 12 + 7 + 20 + 8 + 9 + 2 + 608 = 666.

12720892608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127208926082 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 832816 + ... + 847952.

Almost surely, 212720892608 is an apocalyptic number.

12720892608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12720892608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244771740).

12720892608 is an abundant number, since it is smaller than the sum of its proper divisors (23768650872).

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

12720892608 is a wasteful number, since it uses less digits than its factorization.

12720892608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16614 (or 16601 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12720892608 in words is "twelve billion, seven hundred twenty million, eight hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1459 2918 4377 5836 8754 11672 13131 15137 17508 23344 26262 30274 35016 45411 46688 52524 60548 70032 90822 93376 105048 121096 136233 140064 181644 210096 242192 272466 280128 363288 420192 484384 544932 726576 840384 968768 1089864 1453152 2179728 2906304 4359456 8718912 22084883 44169766 66254649 88339532 132509298 176679064 198763947 265018596 353358128 397527894 530037192 706716256 795055788 1060074384 1413432512 1590111576 2120148768 3180223152 4240297536 6360446304 12720892608