Search a number
-
+
6129113013 = 323146747041
BaseRepresentation
bin1011011010101001…
…01101011110110101
3120211011000012102200
411231110231132311
5100023023104023
62452104055113
7304612413102
oct55524553665
916734005380
106129113013
1126657a7361
121230764499
13768a638ba
1442201baa9
1525d13d743
hex16d52d7b5

6129113013 has 24 divisors (see below), whose sum is σ = 9158512896. Its totient is φ = 3945715200.

The previous prime is 6129113009. The next prime is 6129113017. The reversal of 6129113013 is 3103119216.

6129113013 is a `hidden beast` number, since 612 + 9 + 1 + 1 + 30 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (6129113009) and next prime (6129113017).

It is not a de Polignac number, because 6129113013 - 22 = 6129113009 is a prime.

It is a super-2 number, since 2×61291130132 = 75132052652251876338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6129113017) 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, 106773 + ... + 153813.

It is an arithmetic number, because the mean of its divisors is an integer number (381604704).

Almost surely, 26129113013 is an apocalyptic number.

It is an amenable number.

6129113013 is a deficient number, since it is larger than the sum of its proper divisors (3029399883).

6129113013 is a wasteful number, since it uses less digits than its factorization.

6129113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47545 (or 47542 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 6129113013 is about 78288.6518788004. The cubic root of 6129113013 is about 1830.0623081893.

The spelling of 6129113013 in words is "six billion, one hundred twenty-nine million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 31 93 279 467 1401 4203 14477 43431 47041 130293 141123 423369 1458271 4374813 13124439 21968147 65904441 197713323 681012557 2043037671 6129113013