Search a number
-
+
11157423808 = 261929417717
BaseRepresentation
bin10100110010000100…
…01100011011000000
31001210120122212002211
422121002030123000
5140322300030213
65043050151504
7543330352246
oct123102143300
931716585084
1011157423808
114806090713
1221b4722594
13108a72562b
1477bb6c796
154547d853d
hex29908c6c0

11157423808 has 112 divisors (see below), whose sum is σ = 24700687200. Its totient is φ = 4977745920.

The previous prime is 11157423803. The next prime is 11157423817. The reversal of 11157423808 is 80832475111.

It is not an unprimeable number, because it can be changed into a prime (11157423803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441966 + ... + 1449682.

It is an arithmetic number, because the mean of its divisors is an integer number (220541850).

Almost surely, 211157423808 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 11157423808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12350343600).

11157423808 is an abundant number, since it is smaller than the sum of its proper divisors (13543263392).

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

11157423808 is a wasteful number, since it uses less digits than its factorization.

11157423808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

Adding to 11157423808 its reverse (80832475111), we get a palindrome (91989898919).

The spelling of 11157423808 in words is "eleven billion, one hundred fifty-seven million, four hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 19 29 32 38 41 58 64 76 82 116 152 164 232 304 328 464 551 608 656 779 928 1102 1189 1216 1312 1558 1856 2204 2378 2624 3116 4408 4756 6232 7717 8816 9512 12464 15434 17632 19024 22591 24928 30868 35264 38048 45182 49856 61736 76096 90364 123472 146623 180728 223793 246944 293246 316397 361456 447586 493888 586492 632794 722912 895172 1172984 1265588 1445824 1790344 2345968 2531176 3580688 4252067 4691936 5062352 6011543 7161376 8504134 9175513 9383872 10124704 12023086 14322752 17008268 18351026 20249408 24046172 34016536 36702052 48092344 68033072 73404104 96184688 136066144 146808208 174334747 192369376 272132288 293616416 348669494 384738752 587232832 697338988 1394677976 2789355952 5578711904 11157423808