Search a number
-
+
12979448340 = 22351911385481
BaseRepresentation
bin11000001011010001…
…01010101000010100
31020111120010021212220
430011220222220110
5203040214321330
65543534342340
7636433330155
oct140550525024
936446107786
1012979448340
115560618711
12262295a9b0
1312bb057461
148b1b3992c
1550e742710
hex305a2aa14

12979448340 has 48 divisors (see below), whose sum is σ = 38255219520. Its totient is φ = 3279018240.

The previous prime is 12979448329. The next prime is 12979448353. The reversal of 12979448340 is 4384497921.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5691601 + ... + 5693880.

It is an arithmetic number, because the mean of its divisors is an integer number (796983740).

Almost surely, 212979448340 is an apocalyptic number.

12979448340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12979448340 is an abundant number, since it is smaller than the sum of its proper divisors (25275771180).

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

12979448340 is a wasteful number, since it uses less digits than its factorization.

12979448340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385512 (or 11385510 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 12979448340 in words is "twelve billion, nine hundred seventy-nine million, four hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 11385481 22770962 34156443 45541924 56927405 68312886 113854810 136625772 170782215 216324139 227709620 341564430 432648278 648972417 683128860 865296556 1081620695 1297944834 2163241390 2595889668 3244862085 4326482780 6489724170 12979448340