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12370084705 = 5112292692621
BaseRepresentation
bin10111000010101000…
…01000001101100001
31011221002111102010101
423201110020031201
5200313220202310
65403245502401
7615353661616
oct134124101541
934832442111
1012370084705
115278654800
122492871a01
131221a30864
14854c3650d
154c5ec543a
hex2e1508361

12370084705 has 48 divisors (see below), whose sum is σ = 16948083600. Its totient is φ = 8650611200.

The previous prime is 12370084669. The next prime is 12370084711. The reversal of 12370084705 is 50748007321.

It can be written as a sum of positive squares in 8 ways, for example, as 260402769 + 12109681936 = 16137^2 + 110044^2 .

It is not a de Polignac number, because 12370084705 - 29 = 12370084193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4718295 + ... + 4720915.

It is an arithmetic number, because the mean of its divisors is an integer number (353085075).

Almost surely, 212370084705 is an apocalyptic number.

It is an amenable number.

12370084705 is a deficient number, since it is larger than the sum of its proper divisors (4577998895).

12370084705 is a wasteful number, since it uses less digits than its factorization.

12370084705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 12370084705 in words is "twelve billion, three hundred seventy million, eighty-four thousand, seven hundred five".

Divisors: 1 5 11 29 55 121 145 269 319 605 1345 1595 2621 2959 3509 7801 13105 14795 17545 28831 32549 39005 76009 85811 144155 162745 317141 380045 429055 705049 836099 943921 1585705 3525245 4180495 4719605 7755539 9197089 20446421 38777695 45985445 85310929 102232105 224910631 426554645 1124553155 2474016941 12370084705