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12942160398 = 234239735809
BaseRepresentation
bin11000000110110100…
…11011001000001110
31020101221221212110000
430003122123020032
5203001143113043
65540123225130
7635501356026
oct140332331016
936357855400
1012942160398
11554156a732
1226123781a6
1312b340019b
148aabd0a86
1550b3292d3
hex30369b20e

12942160398 has 80 divisors (see below), whose sum is σ = 30573718560. Its totient is φ = 4083830784.

The previous prime is 12942160393. The next prime is 12942160411. The reversal of 12942160398 is 89306124921.

12942160398 is a `hidden beast` number, since 12 + 9 + 4 + 21 + 603 + 9 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12942160393) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343518 + ... + 379326.

It is an arithmetic number, because the mean of its divisors is an integer number (382171482).

Almost surely, 212942160398 is an apocalyptic number.

12942160398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12942160398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286859280).

12942160398 is an abundant number, since it is smaller than the sum of its proper divisors (17631558162).

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

12942160398 is a wasteful number, since it uses less digits than its factorization.

12942160398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35943 (or 35934 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12942160398 in words is "twelve billion, nine hundred forty-two million, one hundred sixty thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 97 138 162 194 207 291 414 582 621 873 1242 1746 1863 2231 2619 3726 4462 5238 6693 7857 13386 15714 20079 35809 40158 60237 71618 107427 120474 180711 214854 322281 361422 644562 823607 966843 1647214 1933686 2470821 2900529 3473473 4941642 5801058 6946946 7412463 10420419 14824926 20840838 22237389 31261257 44474778 62522514 66712167 79889879 93783771 133424334 159779758 187567542 239669637 281351313 479339274 562702626 719008911 1438017822 2157026733 4314053466 6471080199 12942160398