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12695070672 = 2432181487073
BaseRepresentation
bin10111101001010111…
…10110011111010000
31012202202000102001200
423310223312133100
5201444414230142
65455415231200
7626411214564
oct136453663720
935682012050
1012695070672
115425044549
122563678500
13127416934b
148860716a4
154e47bc64c
hex2f4af67d0

12695070672 has 60 divisors (see below), whose sum is σ = 35724929604. Its totient is φ = 4208302080.

The previous prime is 12695070659. The next prime is 12695070683. The reversal of 12695070672 is 27607059621.

12695070672 is a `hidden beast` number, since 12 + 69 + 507 + 0 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 986965056 + 11708105616 = 31416^2 + 108204^2 .

It is a super-2 number, since 2×126950706722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 217473 + ... + 269600.

Almost surely, 212695070672 is an apocalyptic number.

12695070672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12695070672 is an abundant number, since it is smaller than the sum of its proper divisors (23029858932).

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

12695070672 is a wasteful number, since it uses less digits than its factorization.

12695070672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487268 (or 487259 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12695070672 in words is "twelve billion, six hundred ninety-five million, seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 1086 1448 1629 2172 2896 3258 4344 6516 8688 13032 26064 487073 974146 1461219 1948292 2922438 3896584 4383657 5844876 7793168 8767314 11689752 17534628 23379504 35069256 70138512 88160213 176320426 264480639 352640852 528961278 705281704 793441917 1057922556 1410563408 1586883834 2115845112 3173767668 4231690224 6347535336 12695070672