Search a number
-
+
12638890212 = 223131923318301
BaseRepresentation
bin10111100010101011…
…00010100011100100
31012121211022010221220
423301111202203210
5201341023441322
65450051140340
7625126536264
oct136125424344
935554263856
1012638890212
1153a6362313
1225488a46b0
131265628a80
1487c8097a4
154de8c155c
hex2f15628e4

12638890212 has 96 divisors (see below), whose sum is σ = 33576117120. Its totient is φ = 3668198400.

The previous prime is 12638890211. The next prime is 12638890219. The reversal of 12638890212 is 21209883621.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12638890211) 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, 681462 + ... + 699762.

It is an arithmetic number, because the mean of its divisors is an integer number (349751220).

Almost surely, 212638890212 is an apocalyptic number.

12638890212 is a gapful number since it is divisible by the number (12) 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 12638890212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788058560).

12638890212 is an abundant number, since it is smaller than the sum of its proper divisors (20937226908).

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

12638890212 is a wasteful number, since it uses less digits than its factorization.

12638890212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18573 (or 18571 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 12638890212 in words is "twelve billion, six hundred thirty-eight million, eight hundred ninety thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 233 247 466 494 699 741 932 988 1398 1482 2796 2964 3029 4427 6058 8854 9087 12116 13281 17708 18174 18301 26562 36348 36602 53124 54903 57551 73204 109806 115102 172653 219612 230204 237913 345306 347719 475826 690612 695438 713739 951652 1043157 1390876 1427478 2086314 2854956 4172628 4264133 4520347 8528266 9040694 12792399 13561041 17056532 18081388 25584798 27122082 51169596 54244164 55433729 81018527 110867458 162037054 166301187 221734916 243055581 324074108 332602374 486111162 665204748 972222324 1053240851 2106481702 3159722553 4212963404 6319445106 12638890212