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12693650910 = 23519312293137
BaseRepresentation
bin10111101001001100…
…11011110111011110
31012202122100021111220
423310212123313132
5201444033312120
65455324554210
7626363152413
oct136446336736
935678307456
1012693650910
115424264896
1225630b2966
131273a90055
14885bc210a
154e45dbb40
hex2f499bdde

12693650910 has 128 divisors (see below), whose sum is σ = 33257779200. Its totient is φ = 3088834560.

The previous prime is 12693650861. The next prime is 12693650989. The reversal of 12693650910 is 1905639621.

12693650910 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126936509102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4044862 + ... + 4047998.

It is an arithmetic number, because the mean of its divisors is an integer number (259826400).

Almost surely, 212693650910 is an apocalyptic number.

12693650910 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 12693650910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628889600).

12693650910 is an abundant number, since it is smaller than the sum of its proper divisors (20564128290).

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

12693650910 is a wasteful number, since it uses less digits than its factorization.

12693650910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426.

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 12693650910 in words is "twelve billion, six hundred ninety-three million, six hundred fifty thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 229 285 310 458 465 570 589 687 930 1145 1178 1374 1767 2290 2945 3137 3435 3534 4351 5890 6274 6870 7099 8702 8835 9411 13053 14198 15685 17670 18822 21297 21755 26106 31370 35495 42594 43510 47055 59603 65265 70990 94110 97247 106485 119206 130530 134881 178809 194494 212970 269762 291741 298015 357618 404643 486235 583482 596030 674405 718373 809286 894045 972470 1348810 1436746 1458705 1788090 1847693 2023215 2155119 2917410 3591865 3695386 4046430 4310238 5543079 7183730 9238465 10775595 11086158 13649087 18476930 21551190 22269563 27298174 27715395 40947261 44539126 55430790 66808689 68245435 81894522 111347815 133617378 136490870 204736305 222695630 334043445 409472610 423121697 668086890 846243394 1269365091 2115608485 2538730182 4231216970 6346825455 12693650910