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12875482305 = 335721946407
BaseRepresentation
bin10111111110111000…
…00100010011000001
31020020022111021022000
423333130010103001
5202332110413210
65525342134213
7634031536200
oct137734042301
936208437260
1012875482305
115507968474
1225b3b81369
1312a26556aa
148a1dd5237
15505557ac0
hex2ff7044c1

12875482305 has 48 divisors (see below), whose sum is σ = 26626861440. Its totient is φ = 5885931744.

The previous prime is 12875482289. The next prime is 12875482313. The reversal of 12875482305 is 50328457821.

12875482305 is a `hidden beast` number, since 1 + 2 + 87 + 548 + 23 + 0 + 5 = 666.

12875482305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12875482305 - 24 = 12875482289 is a prime.

It is a super-2 number, since 2×128754823052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966589 + ... + 979818.

It is an arithmetic number, because the mean of its divisors is an integer number (554726280).

Almost surely, 212875482305 is an apocalyptic number.

12875482305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12875482305 is an abundant number, since it is smaller than the sum of its proper divisors (13751379135).

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

12875482305 is a wasteful number, since it uses less digits than its factorization.

12875482305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946435 (or 1946422 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12875482305 in words is "twelve billion, eight hundred seventy-five million, four hundred eighty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 1946407 5839221 9732035 13624849 17517663 29196105 40874547 52552989 68124245 87588315 95373943 122623641 204372735 262764945 286121829 367870923 476869715 613118205 858365487 1430609145 1839354615 2575096461 4291827435 12875482305