Search a number
-
+
12403685973 = 37997592429
BaseRepresentation
bin10111000110101000…
…10011101001010101
31012000102201112101210
423203110103221111
5200400320422343
65410450012033
7616242406530
oct134324235125
935012645353
1012403685973
115295614948
1224a1b77019
131228996a73
148594a1a17
154c8e11333
hex2e3513a55

12403685973 has 16 divisors (see below), whose sum is σ = 18919844480. Its totient is φ = 7080699456.

The previous prime is 12403685951. The next prime is 12403686041. The reversal of 12403685973 is 37958630421.

12403685973 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 12403685973 - 26 = 12403685909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403687973) 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 15 ways as a sum of consecutive naturals, for example, 275278 + ... + 317151.

It is an arithmetic number, because the mean of its divisors is an integer number (1182490280).

It is a 1-persistent number, because it is pandigital, but 2⋅12403685973 = 24807371946 is not.

Almost surely, 212403685973 is an apocalyptic number.

It is an amenable number.

12403685973 is a deficient number, since it is larger than the sum of its proper divisors (6516158507).

12403685973 is an equidigital number, since it uses as much as digits as its factorization.

12403685973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593436.

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

The spelling of 12403685973 in words is "twelve billion, four hundred three million, six hundred eighty-five thousand, nine hundred seventy-three".

Divisors: 1 3 7 21 997 2991 6979 20937 592429 1777287 4147003 12441009 590651713 1771955139 4134561991 12403685973