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12698653030272 = 273211171937711181
BaseRepresentation
bin1011100011001010001010…
…1100111111011110000000
31122221222102222000100102200
42320302202230333132000
53131023320133432042
643001403005113200
72450306313541416
oct270624254773600
948858388010380
1012698653030272
114056517645180
121511101258800
13711629a87801
1431c8920572b6
151704c3b0ac4c
hexb8ca2b3f780

12698653030272 has 1536 divisors, whose sum is σ = 46312779801600. Its totient is φ = 3288563712000.

The previous prime is 12698653030267. The next prime is 12698653030313. The reversal of 12698653030272 is 27203035689621.

12698653030272 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 8 + 6 + 530 + 30 + 2 + 72 = 666.

12698653030272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126986530302722 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10752457522 + ... + 10752458702.

It is an arithmetic number, because the mean of its divisors is an integer number (30151549350).

Almost surely, 212698653030272 is an apocalyptic number.

12698653030272 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 12698653030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23156389900800).

12698653030272 is an abundant number, since it is smaller than the sum of its proper divisors (33614126771328).

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

12698653030272 is a wasteful number, since it uses less digits than its factorization.

12698653030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12698653030272 in words is "twelve trillion, six hundred ninety-eight billion, six hundred fifty-three million, thirty thousand, two hundred seventy-two".