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12718630340 = 225132915111171
BaseRepresentation
bin10111101100001011…
…01110010111000100
31012211101100100211222
423312011232113010
5202021432132330
65502020215512
7630115400633
oct136605562704
935741310758
1012718630340
115437376249
12256b53a598
131278cc7a90
1488924551a
154e68c30e5
hex2f616e5c4

12718630340 has 96 divisors (see below), whose sum is σ = 29955260160. Its totient is φ = 4503744000.

The previous prime is 12718630319. The next prime is 12718630361. The reversal of 12718630340 is 4303681721.

It is an interprime number because it is at equal distance from previous prime (12718630319) and next prime (12718630361).

It is a self number, because there is not a number n which added to its sum of digits gives 12718630340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132955 + ... + 1144125.

It is an arithmetic number, because the mean of its divisors is an integer number (312033960).

Almost surely, 212718630340 is an apocalyptic number.

12718630340 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 12718630340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977630080).

12718630340 is an abundant number, since it is smaller than the sum of its proper divisors (17236629820).

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

12718630340 is a wasteful number, since it uses less digits than its factorization.

12718630340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11373 (or 11371 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 12718630340 in words is "twelve billion, seven hundred eighteen million, six hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 151 260 290 302 377 580 604 754 755 1508 1510 1885 1963 3020 3770 3926 4379 7540 7852 8758 9815 11171 17516 19630 21895 22342 39260 43790 44684 55855 56927 87580 111710 113854 145223 223420 227708 284635 290446 323959 569270 580892 647918 726115 1138540 1295836 1452230 1619795 1686821 2904460 3239590 3373642 4211467 6479180 6747284 8422934 8434105 16845868 16868210 21057335 21928673 33736420 42114670 43857346 48917809 84229340 87714692 97835618 109643365 195671236 219286730 244589045 438573460 489178090 635931517 978356180 1271863034 2543726068 3179657585 6359315170 12718630340