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12137684140 = 2251759605069
BaseRepresentation
bin10110100110111011…
…00101110010101100
31011022220012020111001
423103131211302230
5144324221343030
65324224410044
7606532420141
oct132335456254
934286166431
1012137684140
11516945181a
122428a76924
1311b5840a2a
1483201c3c8
154b08bacca
hex2d3765cac

12137684140 has 48 divisors (see below), whose sum is σ = 27445975200. Its totient is φ = 4492024832.

The previous prime is 12137684137. The next prime is 12137684147. The reversal of 12137684140 is 4148673121.

It is a self number, because there is not a number n which added to its sum of digits gives 12137684140.

It is not an unprimeable number, because it can be changed into a prime (12137684147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 282475 + ... + 322594.

It is an arithmetic number, because the mean of its divisors is an integer number (571791150).

Almost surely, 212137684140 is an apocalyptic number.

12137684140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12137684140 is an abundant number, since it is smaller than the sum of its proper divisors (15308291060).

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

12137684140 is a wasteful number, since it uses less digits than its factorization.

12137684140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605154 (or 605152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 12137684140 in words is "twelve billion, one hundred thirty-seven million, six hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 2006 4012 5015 10030 20060 605069 1210138 2420276 3025345 6050690 10286173 12101380 20572346 35699071 41144692 51430865 71398142 102861730 142796284 178495355 205723460 356990710 606884207 713981420 1213768414 2427536828 3034421035 6068842070 12137684140