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11514410152 = 2374114933359
BaseRepresentation
bin10101011100100111…
…11111010010101000
31002201110101122022021
422232103333102220
5142040142111102
65142321434224
7555223604620
oct125623772250
932643348267
1011514410152
114979647853
12229419b974
13111668675b
147b3337880
15475d02137
hex2ae4ff4a8

11514410152 has 64 divisors (see below), whose sum is σ = 25299993600. Its totient is φ = 4809730560.

The previous prime is 11514410147. The next prime is 11514410207. The reversal of 11514410152 is 25101441511.

It is a happy number.

It is a super-2 number, since 2×115144101522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3426249 + ... + 3429607.

It is an arithmetic number, because the mean of its divisors is an integer number (395312400).

Almost surely, 211514410152 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 11514410152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649996800).

11514410152 is an abundant number, since it is smaller than the sum of its proper divisors (13785583448).

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

11514410152 is a wasteful number, since it uses less digits than its factorization.

11514410152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 11514410152 its reverse (25101441511), we get a palindrome (36615851663).

The spelling of 11514410152 in words is "eleven billion, five hundred fourteen million, four hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1493 2296 2986 3359 5972 6718 10451 11944 13436 20902 23513 26872 41804 47026 61213 83608 94052 122426 137719 188104 244852 275438 428491 489704 550876 856982 964033 1101752 1713964 1928066 3427928 3856132 5014987 7712264 10029974 20059948 35104909 40119896 70209818 140419636 205614467 280839272 411228934 822457868 1439301269 1644915736 2878602538 5757205076 11514410152