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12730867290 = 2325716832917
BaseRepresentation
bin10111101101101000…
…11001111001011010
31012212020101001210100
423312310121321122
5202033100223130
65503134400230
7630324405111
oct136664317132
935766331710
1012730867290
115443274029
122573660076
13127b6c088b
1488ab0cc78
154e79ddc60
hex2f6d19e5a

12730867290 has 96 divisors (see below), whose sum is σ = 33627125376. Its totient is φ = 3341036160.

The previous prime is 12730867211. The next prime is 12730867297. The reversal of 12730867290 is 9276803721.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12730867297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4362912 + ... + 4365828.

It is an arithmetic number, because the mean of its divisors is an integer number (350282556).

Almost surely, 212730867290 is an apocalyptic number.

12730867290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12730867290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813562688).

12730867290 is an abundant number, since it is smaller than the sum of its proper divisors (20896258086).

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

12730867290 is a wasteful number, since it uses less digits than its factorization.

12730867290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12730867290 in words is "twelve billion, seven hundred thirty million, eight hundred sixty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 683 710 1065 1278 1366 2049 2130 2917 3195 3415 4098 5834 6147 6390 6830 8751 10245 12294 14585 17502 20490 26253 29170 30735 43755 48493 52506 61470 87510 96986 131265 145479 207107 242465 262530 290958 414214 436437 484930 621321 727395 872874 1035535 1242642 1454790 1863963 1992311 2071070 2182185 3106605 3727926 3984622 4364370 5976933 6213210 9319815 9961555 11953866 17930799 18639630 19923110 29884665 35861598 59769330 89653995 141454081 179307990 282908162 424362243 707270405 848724486 1273086729 1414540810 2121811215 2546173458 4243622430 6365433645 12730867290