Search a number
-
+
13012319096 = 237439775531
BaseRepresentation
bin11000001111001100…
…00011101101111000
31020120211222022002022
430013212003231320
5203122123202341
65551111054012
7640312613240
oct140746035570
936524868068
1013012319096
115578129a27
122631971308
1312c4ac5cca
148b6254b20
15512586e4b
hex307983b78

13012319096 has 64 divisors (see below), whose sum is σ = 28566362880. Its totient is φ = 5440458240.

The previous prime is 13012319087. The next prime is 13012319123. The reversal of 13012319096 is 69091321031.

13012319096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130123190962 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2349851 + ... + 2355381.

It is an arithmetic number, because the mean of its divisors is an integer number (446349420).

Almost surely, 213012319096 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 13012319096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283181440).

13012319096 is an abundant number, since it is smaller than the sum of its proper divisors (15554043784).

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

13012319096 is a wasteful number, since it uses less digits than its factorization.

13012319096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The spelling of 13012319096 in words is "thirteen billion, twelve million, three hundred nineteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 977 1204 1954 2408 3908 5531 6839 7816 11062 13678 22124 27356 38717 42011 44248 54712 77434 84022 154868 168044 237833 294077 309736 336088 475666 588154 951332 1176308 1664831 1902664 2352616 3329662 5403787 6659324 10807574 13318648 21615148 37826509 43230296 75653018 151306036 232362841 302612072 464725682 929451364 1626539887 1858902728 3253079774 6506159548 13012319096