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12344667568 = 2429375313567
BaseRepresentation
bin10110111111100110…
…01010110110110000
31011212022200002100221
423133303022312300
5200240213330233
65400541022424
7614624641312
oct133763126660
934768602327
1012344667568
115265274502
122486254a14
1312196a182c
148516db7b2
154c3b5442d
hex2dfccadb0

12344667568 has 80 divisors (see below), whose sum is σ = 25892628480. Its totient is φ = 5688603648.

The previous prime is 12344667563. The next prime is 12344667581. The reversal of 12344667568 is 86576644321.

It is not an unprimeable number, because it can be changed into a prime (12344667563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903121 + ... + 916687.

It is an arithmetic number, because the mean of its divisors is an integer number (323657856).

Almost surely, 212344667568 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 12344667568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12946314240).

12344667568 is an abundant number, since it is smaller than the sum of its proper divisors (13547960912).

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

12344667568 is a wasteful number, since it uses less digits than its factorization.

12344667568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694 (or 13688 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 12344667568 in words is "twelve billion, three hundred forty-four million, six hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 29 37 53 58 74 106 116 148 212 232 296 424 464 592 848 1073 1537 1961 2146 3074 3922 4292 6148 7844 8584 12296 13567 15688 17168 24592 27134 31376 54268 56869 108536 113738 217072 227476 393443 454952 501979 719051 786886 909904 1003958 1438102 1573772 2007916 2876204 3147544 4015832 5752408 6295088 8031664 11504816 14557391 20852479 26604887 29114782 41704958 53209774 58229564 83409916 106419548 116459128 166819832 212839096 232918256 333639664 425678192 771541723 1543083446 3086166892 6172333784 12344667568