Search a number
-
+
11545032252 = 223132322914051
BaseRepresentation
bin10101100000010001…
…10011011000111100
31002210121000101221010
422300020303120330
5142121012013002
65145334035220
7556045104105
oct126010633074
932717011833
1011545032252
114994962676
1222a24a8b10
13111cb18940
147b74293ac
1547885046c
hex2b023363c

11545032252 has 96 divisors (see below), whose sum is σ = 30406279680. Its totient is φ = 3382790400.

The previous prime is 11545032223. The next prime is 11545032259. The reversal of 11545032252 is 25223054511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11545032259) 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, 814627 + ... + 828677.

It is an arithmetic number, because the mean of its divisors is an integer number (316732080).

Almost surely, 211545032252 is an apocalyptic number.

11545032252 is a gapful number since it is divisible by the number (12) 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 11545032252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203139840).

11545032252 is an abundant number, since it is smaller than the sum of its proper divisors (18861247428).

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

11545032252 is a wasteful number, since it uses less digits than its factorization.

11545032252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 11545032252 its reverse (25223054511), we get a palindrome (36768086763).

The spelling of 11545032252 in words is "eleven billion, five hundred forty-five million, thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 229 276 299 458 598 687 897 916 1196 1374 1794 2748 2977 3588 5267 5954 8931 10534 11908 14051 15801 17862 21068 28102 31602 35724 42153 56204 63204 68471 84306 136942 168612 182663 205413 273884 323173 365326 410826 547989 646346 730652 821652 969519 1095978 1292692 1939038 2191956 3217679 3878076 4201249 6435358 8402498 9653037 12603747 12870716 16804996 19306074 25207494 38612148 41829827 50414988 74006617 83659654 125489481 148013234 167319308 222019851 250978962 296026468 444039702 501957924 888079404 962086021 1924172042 2886258063 3848344084 5772516126 11545032252