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12724392241 = 113731263863
BaseRepresentation
bin10111101100110111…
…01101000100110001
31012211210012002200201
423312123231010301
5202024421022431
65502343515201
7630215356321
oct136633550461
935753162621
1012724392241
11543a651250
122571458b01
13127a2645a2
14889d05281
154e7160461
hex2f66ed131

12724392241 has 8 divisors (see below), whose sum is σ = 14256321984. Its totient is φ = 11254990320.

The previous prime is 12724392229. The next prime is 12724392253. The reversal of 12724392241 is 14229342721.

It is an interprime number because it is at equal distance from previous prime (12724392229) and next prime (12724392253).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12724392241 - 27 = 12724392113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12724392241.

It is not an unprimeable number, because it can be changed into a prime (12724392641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15631525 + ... + 15632338.

It is an arithmetic number, because the mean of its divisors is an integer number (1782040248).

Almost surely, 212724392241 is an apocalyptic number.

12724392241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12724392241 is a deficient number, since it is larger than the sum of its proper divisors (1531929743).

12724392241 is a wasteful number, since it uses less digits than its factorization.

12724392241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31263911.

The product of its digits is 48384, while the sum is 37.

The spelling of 12724392241 in words is "twelve billion, seven hundred twenty-four million, three hundred ninety-two thousand, two hundred forty-one".

Divisors: 1 11 37 407 31263863 343902493 1156762931 12724392241