Search a number
-
+
12429096399 = 3229109143649
BaseRepresentation
bin10111001001101010…
…01111010111001111
31012002012112111221200
423210311033113033
5200423322041044
65413154400543
7620001401436
oct134465172717
935065474850
1012429096399
1152a89a00a5
1224aa590153
131231022a15
1485c9d811d
154cb280369
hex2e4d4f5cf

12429096399 has 24 divisors (see below), whose sum is σ = 18589662000. Its totient is φ = 7992821760.

The previous prime is 12429096397. The next prime is 12429096401. The reversal of 12429096399 is 99369092421.

12429096399 is a `hidden beast` number, since 1 + 242 + 9 + 0 + 9 + 6 + 399 = 666.

It is an interprime number because it is at equal distance from previous prime (12429096397) and next prime (12429096401).

It is not a de Polignac number, because 12429096399 - 21 = 12429096397 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12429096391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262927 + ... + 306575.

It is an arithmetic number, because the mean of its divisors is an integer number (774569250).

Almost surely, 212429096399 is an apocalyptic number.

12429096399 is a deficient number, since it is larger than the sum of its proper divisors (6160565601).

12429096399 is a wasteful number, since it uses less digits than its factorization.

12429096399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44775 (or 44772 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 12429096399 in words is "twelve billion, four hundred twenty-nine million, ninety-six thousand, three hundred ninety-nine".

Divisors: 1 3 9 29 87 261 1091 3273 9819 31639 43649 94917 130947 284751 392841 1265821 3797463 11392389 47621059 142863177 428589531 1381010711 4143032133 12429096399