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12312505344 = 21037095653
BaseRepresentation
bin10110111011110000…
…11110110000000000
31011210002011002002110
423131320132300000
5200204000132334
65353431415320
7614054366016
oct133570366000
934702132073
1012312505344
1152490a7557
122477524540
131212b20629
1484b3288b6
154c0deeae9
hex2dde1ec00

12312505344 has 88 divisors (see below), whose sum is σ = 32869415920. Its totient is φ = 4097654784.

The previous prime is 12312505333. The next prime is 12312505363. The reversal of 12312505344 is 44350521321.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2175222 + ... + 2180874.

It is an arithmetic number, because the mean of its divisors is an integer number (373516090).

Almost surely, 212312505344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434707960).

12312505344 is an abundant number, since it is smaller than the sum of its proper divisors (20556910576).

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

12312505344 is an equidigital number, since it uses as much as digits as its factorization.

12312505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12312505344 in words is "twelve billion, three hundred twelve million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 709 768 1024 1418 1536 2127 2836 3072 4254 5653 5672 8508 11306 11344 16959 17016 22612 22688 33918 34032 45224 45376 67836 68064 90448 90752 135672 136128 180896 181504 271344 272256 361792 363008 542688 544512 723584 726016 1085376 1089024 1447168 2170752 2178048 2894336 4007977 4341504 5788672 8015954 8683008 12023931 16031908 17366016 24047862 32063816 48095724 64127632 96191448 128255264 192382896 256510528 384765792 513021056 769531584 1026042112 1539063168 2052084224 3078126336 4104168448 6156252672 12312505344