Search a number
-
+
11856104337 = 372117332161
BaseRepresentation
bin10110000101010110…
…11100101110010001
31010121021100111121110
423002223130232101
5143240130314322
65240245243533
7566543136600
oct130253345621
933537314543
1011856104337
115034509740
12236a7035a9
13116c3c226c
14806881a37
15495ce9c0c
hex2c2adcb91

11856104337 has 24 divisors (see below), whose sum is σ = 20060795232. Its totient is φ = 6159014400.

The previous prime is 11856104311. The next prime is 11856104341. The reversal of 11856104337 is 73340165811.

11856104337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11856104337 - 212 = 11856100241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11856104295 and 11856104304.

It is not an unprimeable number, because it can be changed into a prime (11856104347) 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 23 ways as a sum of consecutive naturals, for example, 3664464 + ... + 3667697.

It is an arithmetic number, because the mean of its divisors is an integer number (835866468).

Almost surely, 211856104337 is an apocalyptic number.

It is an amenable number.

11856104337 is a deficient number, since it is larger than the sum of its proper divisors (8204690895).

11856104337 is a wasteful number, since it uses less digits than its factorization.

11856104337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332189 (or 7332182 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 11856104337 in words is "eleven billion, eight hundred fifty-six million, one hundred four thousand, three hundred thirty-seven".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 7332161 21996483 51325127 80653771 153975381 241961313 359275889 564576397 1077827667 1693729191 3952034779 11856104337