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11552804832 = 253764915733
BaseRepresentation
bin10101100001001100…
…11100111111100000
31002211010122021220110
422300212130333200
5142130004223312
65150212411320
7556201135512
oct126046347740
932733567813
1011552804832
114999291298
1222a5016b40
13112160a6ba
147b848dbb2
1547938843c
hex2b099cfe0

11552804832 has 48 divisors (see below), whose sum is σ = 30332005200. Its totient is φ = 3850186752.

The previous prime is 11552804827. The next prime is 11552804833. The reversal of 11552804832 is 23840825511.

11552804832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552804833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726438 + ... + 742170.

It is an arithmetic number, because the mean of its divisors is an integer number (631916775).

Almost surely, 211552804832 is an apocalyptic number.

11552804832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11552804832 is an abundant number, since it is smaller than the sum of its proper divisors (18779200368).

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

11552804832 is a wasteful number, since it uses less digits than its factorization.

11552804832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23395 (or 23387 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 11552804832 in words is "eleven billion, five hundred fifty-two million, eight hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 7649 15298 15733 22947 30596 31466 45894 47199 61192 62932 91788 94398 122384 125864 183576 188796 244768 251728 367152 377592 503456 734304 755184 1510368 120341717 240683434 361025151 481366868 722050302 962733736 1444100604 1925467472 2888201208 3850934944 5776402416 11552804832