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12279402306 = 2333749112517
BaseRepresentation
bin10110110111110100…
…01100111101000010
31011200202212021021000
423123322030331002
5200122011333211
65350250112430
7613203124503
oct133372147502
934622767230
1012279402306
115231447776
12246841b716
131209000132
14846b8cbaa
154bd061656
hex2dbe8cf42

12279402306 has 64 divisors (see below), whose sum is σ = 28084383360. Its totient is φ = 3974080320.

The previous prime is 12279402229. The next prime is 12279402329. The reversal of 12279402306 is 60320497221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974760 + ... + 987276.

It is an arithmetic number, because the mean of its divisors is an integer number (438818490).

Almost surely, 212279402306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12279402306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042191680).

12279402306 is an abundant number, since it is smaller than the sum of its proper divisors (15804981054).

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

12279402306 is a wasteful number, since it uses less digits than its factorization.

12279402306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 12279402306 its reverse (60320497221), we get a palindrome (72599899527).

The spelling of 12279402306 in words is "twelve billion, two hundred seventy-nine million, four hundred two thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 491 666 982 999 1473 1998 2946 4419 8838 12517 13257 18167 25034 26514 36334 37551 54501 75102 109002 112653 163503 225306 327006 337959 463129 490509 675918 926258 981018 1389387 2778774 4168161 6145847 8336322 12291694 12504483 18437541 25008966 36875082 55312623 110625246 165937869 227396339 331875738 454792678 682189017 1364378034 2046567051 4093134102 6139701153 12279402306