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12695998464 = 21232479719
BaseRepresentation
bin10111101001011110…
…11001000000000000
31012202210202112202100
423310233121000000
5202000133422324
65455451150400
7626422130532
oct136457310000
935683675670
1012695998464
115425618616
122563a45400
131274402736
14886233852
154e49024c9
hex2f4bd9000

12695998464 has 156 divisors (see below), whose sum is σ = 36800524800. Its totient is φ = 4217290752.

The previous prime is 12695998453. The next prime is 12695998487. The reversal of 12695998464 is 46489959621.

It is a super-2 number, since 2×126959984642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17657497 + ... + 17658215.

It is an arithmetic number, because the mean of its divisors is an integer number (235900800).

Almost surely, 212695998464 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 12695998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400262400).

12695998464 is an abundant number, since it is smaller than the sum of its proper divisors (24104526336).

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

12695998464 is an equidigital number, since it uses as much as digits as its factorization.

12695998464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1203 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 12695998464 in words is "twelve billion, six hundred ninety-five million, nine hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 479 512 576 719 768 958 1024 1152 1437 1438 1536 1916 2048 2157 2304 2874 2876 3072 3832 4096 4311 4314 4608 5748 5752 6144 6471 7664 8622 8628 9216 11496 11504 12288 12942 15328 17244 17256 18432 22992 23008 25884 30656 34488 34512 36864 45984 46016 51768 61312 68976 69024 91968 92032 103536 122624 137952 138048 183936 184064 207072 245248 275904 276096 344401 367872 368128 414144 490496 551808 552192 688802 735744 736256 828288 980992 1033203 1103616 1104384 1377604 1471488 1472512 1656576 1961984 2066406 2207232 2208768 2755208 2942976 2945024 3099609 3313152 4132812 4414464 4417536 5510416 5885952 6199218 6626304 8265624 8828928 8835072 11020832 12398436 13252608 16531248 17657856 22041664 24796872 26505216 33062496 44083328 49593744 66124992 88166656 99187488 132249984 176333312 198374976 264499968 352666624 396749952 528999936 705333248 793499904 1057999872 1410666496 1586999808 2115999744 3173999616 4231999488 6347999232 12695998464