Search a number
-
+
12431633136 = 24313181110069
BaseRepresentation
bin10111001001111101…
…11010101011110000
31012002101022101200220
423210332322223300
5200424444230021
65413325013040
7620032065246
oct134476725360
935071271626
1012431633136
1152aa372a7a
1224ab3b4180
131231700550
1485d098796
154cb5d1cc6
hex2e4fbaaf0

12431633136 has 80 divisors (see below), whose sum is σ = 34776836640. Its totient is φ = 3803950080.

The previous prime is 12431633111. The next prime is 12431633191. The reversal of 12431633136 is 63133613421.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12431633097 and 12431633106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57910 + ... + 167978.

It is an arithmetic number, because the mean of its divisors is an integer number (434710458).

Almost surely, 212431633136 is an apocalyptic number.

12431633136 is a gapful number since it is divisible by the number (16) 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 12431633136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388418320).

12431633136 is an abundant number, since it is smaller than the sum of its proper divisors (22345203504).

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

12431633136 is a wasteful number, since it uses less digits than its factorization.

12431633136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110274 (or 110268 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The spelling of 12431633136 in words is "twelve billion, four hundred thirty-one million, six hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 181 208 312 362 543 624 724 1086 1448 2172 2353 2896 4344 4706 7059 8688 9412 14118 18824 28236 37648 56472 110069 112944 220138 330207 440276 660414 880552 1320828 1430897 1761104 2641656 2861794 4292691 5283312 5723588 8585382 11447176 17170764 19922489 22894352 34341528 39844978 59767467 68683056 79689956 119534934 159379912 239069868 258992357 318759824 478139736 517984714 776977071 956279472 1035969428 1553954142 2071938856 3107908284 4143877712 6215816568 12431633136