Search a number
-
+
12174289744 = 243124544939
BaseRepresentation
bin10110101011010010…
…01110101101010000
31011102110001222221011
423111221032231100
5144413104232434
65332013140304
7610455520051
oct132551165520
934373058834
1012174289744
115188084091
12243918a694
1311c02b9556
14836c2a728
154b3bebe64
hex2d5a4eb50

12174289744 has 20 divisors (see below), whose sum is σ = 24348580480. Its totient is φ = 5890785120.

The previous prime is 12174289733. The next prime is 12174289759. The reversal of 12174289744 is 44798247121.

It is a happy number.

12174289744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12174289744 is an admirable number.

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, 12271974 + ... + 12272965.

It is an arithmetic number, because the mean of its divisors is an integer number (1217429024).

Almost surely, 212174289744 is an apocalyptic number.

It is an amenable number.

12174289744 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12174289744 is a wasteful number, since it uses less digits than its factorization.

12174289744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24544978 (or 24544972 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The spelling of 12174289744 in words is "twelve billion, one hundred seventy-four million, two hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 24544939 49089878 98179756 196359512 392719024 760893109 1521786218 3043572436 6087144872 12174289744