Search a number
-
+
11153256632 = 2373159108893
BaseRepresentation
bin10100110001100100…
…10011000010111000
31001210021211010210222
422120302103002320
5140320213203012
65042420555212
7543250055120
oct123062230270
931707733728
1011153256632
1148037a4871
1221b3252b08
1310898c694b
1477b3a5c80
15454263972
hex298c930b8

11153256632 has 64 divisors (see below), whose sum is σ = 25089177600. Its totient is φ = 4547329920.

The previous prime is 11153256617. The next prime is 11153256637. The reversal of 11153256632 is 23665235111.

It is a junction number, because it is equal to n+sod(n) for n = 11153256592 and 11153256601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11153256637) 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, 47978 + ... + 156870.

It is an arithmetic number, because the mean of its divisors is an integer number (392018400).

Almost surely, 211153256632 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 11153256632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12544588800).

11153256632 is an abundant number, since it is smaller than the sum of its proper divisors (13935920968).

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

11153256632 is a wasteful number, since it uses less digits than its factorization.

11153256632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108996 (or 108992 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The spelling of 11153256632 in words is "eleven billion, one hundred fifty-three million, two hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 59 62 118 124 217 236 248 413 434 472 826 868 1652 1736 1829 3304 3658 7316 12803 14632 25606 51212 102424 108893 217786 435572 762251 871144 1524502 3049004 3375683 6098008 6424687 6751366 12849374 13502732 23629781 25698748 27005464 44972809 47259562 51397496 89945618 94519124 179891236 189038248 199165297 359782472 398330594 796661188 1394157079 1593322376 2788314158 5576628316 11153256632