Search a number
-
+
12975380346 = 236343340937
BaseRepresentation
bin11000001010110010…
…01001011101111010
31020111021110121122110
430011121021131322
5203033144132341
65543311233150
7636353625135
oct140531113572
936437417573
1012975380346
11555929a335
1226215187b6
1312ba261966
148b139b21c
1550e1dc216
hex30564977a

12975380346 has 16 divisors (see below), whose sum is σ = 25954928064. Its totient is φ = 4324432224.

The previous prime is 12975380329. The next prime is 12975380347. The reversal of 12975380346 is 64308357921.

12975380346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12975380295 and 12975380304.

It is not an unprimeable number, because it can be changed into a prime (12975380347) 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 7 ways as a sum of consecutive naturals, for example, 132411 + ... + 208526.

It is an arithmetic number, because the mean of its divisors is an integer number (1622183004).

It is a 1-persistent number, because it is pandigital, but 2⋅12975380346 = 25950760692 is not.

Almost surely, 212975380346 is an apocalyptic number.

12975380346 is an abundant number, since it is smaller than the sum of its proper divisors (12979547718).

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

12975380346 is a wasteful number, since it uses less digits than its factorization.

12975380346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347285.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 12975380346 in words is "twelve billion, nine hundred seventy-five million, three hundred eighty thousand, three hundred forty-six".

Divisors: 1 2 3 6 6343 12686 19029 38058 340937 681874 1022811 2045622 2162563391 4325126782 6487690173 12975380346