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12731222616 = 2337176766533
BaseRepresentation
bin10111101101101011…
…10000101001011000
31012212021001010012120
423312311300221120
5202033143110431
65503150141240
7630330415050
oct136665605130
935767033176
1012731222616
115443496a92
1225737b1820
13127b7b6528
1488aba2560
154e7a5e196
hex2f6d70a58

12731222616 has 128 divisors (see below), whose sum is σ = 39090055680. Its totient is φ = 3372374016.

The previous prime is 12731222611. The next prime is 12731222629. The reversal of 12731222616 is 61622213721.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12731222611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158086 + ... + 224618.

It is an arithmetic number, because the mean of its divisors is an integer number (305391060).

Almost surely, 212731222616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12731222616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19545027840).

12731222616 is an abundant number, since it is smaller than the sum of its proper divisors (26358833064).

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

12731222616 is a wasteful number, since it uses less digits than its factorization.

12731222616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66633 (or 66629 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The spelling of 12731222616 in words is "twelve billion, seven hundred thirty-one million, two hundred twenty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 67 68 84 102 119 134 136 168 201 204 238 268 357 402 408 469 476 536 714 804 938 952 1139 1407 1428 1608 1876 2278 2814 2856 3417 3752 4556 5628 6834 7973 9112 11256 13668 15946 23919 27336 31892 47838 63784 66533 95676 133066 191352 199599 266132 399198 465731 532264 798396 931462 1131061 1397193 1596792 1862924 2262122 2794386 3393183 3725848 4457711 4524244 5588772 6786366 7917427 8915422 9048488 11177544 13373133 13572732 15834854 17830844 23752281 26746266 27145464 31203977 31669708 35661688 47504562 53492532 62407954 63339416 75781087 93611931 95009124 106985064 124815908 151562174 187223862 190018248 227343261 249631816 303124348 374447724 454686522 530467609 606248696 748895448 909373044 1060935218 1591402827 1818746088 2121870436 3182805654 4243740872 6365611308 12731222616