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12344012096 = 261359251467
BaseRepresentation
bin10110111111100001…
…01010110101000000
31011212021102210020012
423133300222311000
5200240031341341
65400515004052
7614616241313
oct133760526500
934767383205
1012344012096
115264966a99
122485b99628
131219502390
148515aa97a
154c3a750eb
hex2dfc2ad40

12344012096 has 56 divisors (see below), whose sum is σ = 26826606240. Its totient is φ = 5600650752.

The previous prime is 12344012089. The next prime is 12344012099. The reversal of 12344012096 is 69021044321.

12344012096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344012099) by changing a digit.

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, 76646 + ... + 174821.

It is an arithmetic number, because the mean of its divisors is an integer number (479046540).

Almost surely, 212344012096 is an apocalyptic number.

12344012096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12344012096 is an abundant number, since it is smaller than the sum of its proper divisors (14482594144).

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

12344012096 is a wasteful number, since it uses less digits than its factorization.

12344012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251551 (or 251541 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 12344012096 in words is "twelve billion, three hundred forty-four million, twelve thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 767 832 944 1534 1888 3068 3776 6136 12272 24544 49088 251467 502934 1005868 2011736 3269071 4023472 6538142 8046944 13076284 14836553 16093888 26152568 29673106 52305136 59346212 104610272 118692424 192875189 209220544 237384848 385750378 474769696 771500756 949539392 1543001512 3086003024 6172006048 12344012096