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12942006280 = 2357433106747
BaseRepresentation
bin11000000110110011…
…10101100000001000
31020101221200001000221
430003121311200020
5203001123200110
65540120035424
7635500144510
oct140331654010
936357601027
1012942006280
115541474965
122612302b74
1312b3377ca8
148aab90840
1550b2e87da
hex303675808

12942006280 has 64 divisors (see below), whose sum is σ = 33356615040. Its totient is φ = 4426970112.

The previous prime is 12942006251. The next prime is 12942006299. The reversal of 12942006280 is 8260024921.

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 15 ways as a sum of consecutive naturals, for example, 67867 + ... + 174613.

It is an arithmetic number, because the mean of its divisors is an integer number (521197110).

Almost surely, 212942006280 is an apocalyptic number.

12942006280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12942006280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678307520).

12942006280 is an abundant number, since it is smaller than the sum of its proper divisors (20414608760).

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

12942006280 is a wasteful number, since it uses less digits than its factorization.

12942006280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107198 (or 107194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12942006280 in words is "twelve billion, nine hundred forty-two million, six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 433 866 1732 2165 3031 3464 4330 6062 8660 12124 15155 17320 24248 30310 60620 106747 121240 213494 426988 533735 747229 853976 1067470 1494458 2134940 2988916 3736145 4269880 5977832 7472290 14944580 29889160 46221451 92442902 184885804 231107255 323550157 369771608 462214510 647100314 924429020 1294200628 1617750785 1848858040 2588401256 3235501570 6471003140 12942006280