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12305686760 = 2351109327733
BaseRepresentation
bin10110111010111100…
…11110000011101000
31011202121022122202022
423131132132003220
5200200223434020
65353025324012
7613642416533
oct133536360350
934677278668
1012305686760
11524526a664
122475196608
1312115a3b73
1484a471a1a
154c0504625
hex2dd79e0e8

12305686760 has 32 divisors (see below), whose sum is σ = 27691289640. Its totient is φ = 4921653504.

The previous prime is 12305686739. The next prime is 12305686859. The reversal of 12305686760 is 6768650321.

It is a Cunningham number, because it is equal to 1109312-1.

It can be written as a sum of positive squares in 4 ways, for example, as 10088595364 + 2217091396 = 100442^2 + 47086^2 .

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 7 ways as a sum of consecutive naturals, for example, 429854 + ... + 457586.

Almost surely, 212305686760 is an apocalyptic number.

12305686760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12305686760 is an abundant number, since it is smaller than the sum of its proper divisors (15385602880).

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

12305686760 is a wasteful number, since it uses less digits than its factorization.

12305686760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38837 (or 38833 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 12305686760 in words is "twelve billion, three hundred five million, six hundred eighty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 11093 22186 27733 44372 55465 55466 88744 110930 110932 138665 221860 221864 277330 443720 554660 1109320 307642169 615284338 1230568676 1538210845 2461137352 3076421690 6152843380 12305686760