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11232138336 = 253117001441
BaseRepresentation
bin10100111010111110…
…01101010001100000
31001222210020202011120
422131133031101200
5141000411411321
65054315412240
7545225412666
oct123537152140
931883222146
1011232138336
114844281861
122215754080
1310a0055003
14787a5ac36
1545b145ec6
hex29d7cd460

11232138336 has 24 divisors (see below), whose sum is σ = 29484363384. Its totient is φ = 3744046080.

The previous prime is 11232138283. The next prime is 11232138341. The reversal of 11232138336 is 63383123211.

11232138336 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11232138297 and 11232138306.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 58500625 + ... + 58500816.

It is an arithmetic number, because the mean of its divisors is an integer number (1228515141).

Almost surely, 211232138336 is an apocalyptic number.

11232138336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11232138336 is an abundant number, since it is smaller than the sum of its proper divisors (18252225048).

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

11232138336 is a wasteful number, since it uses less digits than its factorization.

11232138336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117001454 (or 117001446 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The spelling of 11232138336 in words is "eleven billion, two hundred thirty-two million, one hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 117001441 234002882 351004323 468005764 702008646 936011528 1404017292 1872023056 2808034584 3744046112 5616069168 11232138336