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12297160638 = 234722953419
BaseRepresentation
bin10110111001111011…
…11100011110111110
31011202000021111010000
423130331330132332
5200141033120023
65352122455130
7613510066200
oct133475743676
934660244100
1012297160638
115240476884
1224723644a6
13120c8aa119
14849292770
154be8bd243
hex2dcf7c7be

12297160638 has 120 divisors (see below), whose sum is σ = 33159396600. Its totient is φ = 3392256672.

The previous prime is 12297160633. The next prime is 12297160649. The reversal of 12297160638 is 83606179221.

12297160638 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 7 + 1 + 6 + 0 + 638 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12297160593 and 12297160602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12297160633) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 203493 + ... + 256911.

It is an arithmetic number, because the mean of its divisors is an integer number (276328305).

Almost surely, 212297160638 is an apocalyptic number.

12297160638 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 12297160638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579698300).

12297160638 is an abundant number, since it is smaller than the sum of its proper divisors (20862235962).

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

12297160638 is a wasteful number, since it uses less digits than its factorization.

12297160638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53476 (or 53460 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12297160638 in words is "twelve billion, two hundred ninety-seven million, one hundred sixty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 81 87 98 126 147 162 174 189 203 261 294 378 406 441 522 567 609 783 882 1134 1218 1323 1421 1566 1827 2349 2646 2842 3654 3969 4263 4698 5481 7938 8526 10962 12789 16443 25578 32886 38367 53419 76734 106838 115101 160257 230202 320514 373933 480771 747866 961542 1121799 1442313 1549151 2243598 2617531 2884626 3098302 3365397 4326939 4647453 5235062 6730794 7852593 8653878 9294906 10096191 10844057 13942359 15705186 20192382 21688114 23557779 27884718 30288573 32532171 41827077 47115558 60577146 65064342 70673337 75908399 83654154 97596513 125481231 141346674 151816798 195193026 212020011 227725197 250962462 292789539 424040022 455450394 585579078 683175591 878368617 1366351182 1756737234 2049526773 4099053546 6148580319 12297160638