Search a number
-
+
113648277288 = 23371356991453
BaseRepresentation
bin110100111010111110…
…1110001011100101000
3101212100100021122222010
41221311331301130220
53330222424333123
6124113112555520
711132211263250
oct1516575613450
9355310248863
10113648277288
114421a542907
121a0386b2ba0
13a9422b1270
14570193c960
152e52543993
hex1a75f71728

113648277288 has 128 divisors (see below), whose sum is σ = 350305401600. Its totient is φ = 29920167936.

The previous prime is 113648277269. The next prime is 113648277289. The reversal of 113648277288 is 882772846311.

113648277288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (113648277289) 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, 1196970 + ... + 1288422.

It is an arithmetic number, because the mean of its divisors is an integer number (2736760950).

Almost surely, 2113648277288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113648277288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175152700800).

113648277288 is an abundant number, since it is smaller than the sum of its proper divisors (236657124312).

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

113648277288 is a wasteful number, since it uses less digits than its factorization.

113648277288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92051 (or 92047 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The spelling of 113648277288 in words is "one hundred thirteen billion, six hundred forty-eight million, two hundred seventy-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 569 728 1092 1138 1707 2184 2276 3414 3983 4552 6828 7397 7966 11949 13656 14794 15932 22191 23898 29588 31864 44382 47796 51779 59176 88764 91453 95592 103558 155337 177528 182906 207116 274359 310674 365812 414232 548718 621348 640171 731624 1097436 1188889 1242696 1280342 1920513 2194872 2377778 2560684 3566667 3841026 4755556 5121368 7133334 7682052 8322223 9511112 14266668 15364104 16644446 24966669 28533336 33288892 49933338 52036757 66577784 99866676 104073514 156110271 199733352 208147028 312220542 364257299 416294056 624441084 676477841 728514598 1092771897 1248882168 1352955682 1457029196 2029433523 2185543794 2705911364 2914058392 4058867046 4371087588 4735344887 5411822728 8117734092 8742175176 9470689774 14206034661 16235468184 18941379548 28412069322 37882759096 56824138644 113648277288