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12648371480625 = 35417873774929
BaseRepresentation
bin1011100000001110110110…
…1100000110100000110001
31122210011122202101222022010
42320003231230012200301
53124212331044340000
642522325345033133
72443546302452256
oct270035554064061
948704582358263
1012648371480625
114037164a5a771
12150340a0257a9
137099758a9c7a
1431a28219742d
1516e02e69dd50
hexb80edb06831

12648371480625 has 40 divisors (see below), whose sum is σ = 21085671800160. Its totient is φ = 6742021408000.

The previous prime is 12648371480597. The next prime is 12648371480687. The reversal of 12648371480625 is 52608417384621.

It is not a de Polignac number, because 12648371480625 - 229 = 12647834609713 is a prime.

It is a super-2 number, since 2×126483714806252 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1463161 + ... + 5238089.

It is an arithmetic number, because the mean of its divisors is an integer number (527141795004).

Almost surely, 212648371480625 is an apocalyptic number.

12648371480625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12648371480625 is a deficient number, since it is larger than the sum of its proper divisors (8437300319535).

12648371480625 is an equidigital number, since it uses as much as digits as its factorization.

12648371480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776739 (or 3776724 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 12648371480625 in words is "twelve trillion, six hundred forty-eight billion, three hundred seventy-one million, four hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 625 1787 1875 5361 8935 26805 44675 134025 223375 670125 1116875 3350625 3774929 11324787 18874645 56623935 94373225 283119675 471866125 1415598375 2359330625 6745798123 7077991875 20237394369 33728990615 101186971845 168644953075 505934859225 843224765375 2529674296125 4216123826875 12648371480625