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13008268812 = 22371122363131
BaseRepresentation
bin11000001110101101…
…00110111000001100
31020120120100112010210
430013112212320030
5203120104100222
65550444202420
7640233313650
oct140726467014
936516315123
1013008268812
115575912990
122630539410
1312c40085a6
148b58bca60
15512036d0c
hex3075a6e0c

13008268812 has 96 divisors (see below), whose sum is σ = 38012534784. Its totient is φ = 3363566400.

The previous prime is 13008268789. The next prime is 13008268837. The reversal of 13008268812 is 21886280031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174487 + ... + 237617.

It is an arithmetic number, because the mean of its divisors is an integer number (395963904).

Almost surely, 213008268812 is an apocalyptic number.

13008268812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13008268812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006267392).

13008268812 is an abundant number, since it is smaller than the sum of its proper divisors (25004265972).

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

13008268812 is a wasteful number, since it uses less digits than its factorization.

13008268812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63379 (or 63377 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 13008268812 in words is "thirteen billion, eight million, two hundred sixty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 223 231 308 446 462 669 892 924 1338 1561 2453 2676 3122 4683 4906 6244 7359 9366 9812 14718 17171 18732 29436 34342 51513 63131 68684 103026 126262 189393 206052 252524 378786 441917 694441 757572 883834 1325751 1388882 1767668 2083323 2651502 2777764 4166646 4861087 5303004 8333292 9722174 14078213 14583261 19444348 28156426 29166522 42234639 56312852 58333044 84469278 98547491 154860343 168938556 197094982 295642473 309720686 394189964 464581029 591284946 619441372 929162058 1084022401 1182569892 1858324116 2168044802 3252067203 4336089604 6504134406 13008268812