Search a number
-
+
11323532256 = 253536313527
BaseRepresentation
bin10101000101110111…
…10110001111100000
31002020011020001001120
422202323312033200
5141142311013011
65111342332240
7550415302401
oct124273661740
932204201046
1011323532256
114890925423
12224028a080
1310b5c7455a
14795c4b9a8
1546419aa06
hex2a2ef63e0

11323532256 has 96 divisors (see below), whose sum is σ = 30341703168. Its totient is φ = 3696376320.

The previous prime is 11323532243. The next prime is 11323532257. The reversal of 11323532256 is 65223532311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323532257) 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, 3208765 + ... + 3212291.

It is an arithmetic number, because the mean of its divisors is an integer number (316059408).

Almost surely, 211323532256 is an apocalyptic number.

11323532256 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 11323532256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170851584).

11323532256 is an abundant number, since it is smaller than the sum of its proper divisors (19018170912).

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

11323532256 is a wasteful number, since it uses less digits than its factorization.

11323532256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4216 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The spelling of 11323532256 in words is "eleven billion, three hundred twenty-three million, five hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 631 636 848 1262 1272 1696 1893 2524 2544 3527 3786 5048 5088 7054 7572 10096 10581 14108 15144 20192 21162 28216 30288 33443 42324 56432 60576 66886 84648 100329 112864 133772 169296 186931 200658 267544 338592 373862 401316 535088 560793 747724 802632 1070176 1121586 1495448 1605264 2225537 2243172 2990896 3210528 4451074 4486344 5981792 6676611 8902148 8972688 13353222 17804296 17945376 26706444 35608592 53412888 71217184 106825776 117953461 213651552 235906922 353860383 471813844 707720766 943627688 1415441532 1887255376 2830883064 3774510752 5661766128 11323532256