Search a number
-
+
24129020167 = 724112010463
BaseRepresentation
bin10110011110001100…
…111010000100000111
32022021121000020002121
4112132030322010013
5343404012121132
615030144350411
71512640200400
oct263614720407
968247006077
1024129020167
11a262225a8a
124814915407
132376c60b35
14124c8229a7
159634c9497
hex59e33a107

24129020167 has 12 divisors (see below), whose sum is σ = 28753050816. Its totient is φ = 20177576160.

The previous prime is 24129020131. The next prime is 24129020203. The reversal of 24129020167 is 76102092142.

It is an interprime number because it is at equal distance from previous prime (24129020131) and next prime (24129020203).

It is a de Polignac number, because none of the positive numbers 2k-24129020167 is a prime.

It is a super-2 number, since 2×241290201672 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24129020467) 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 11 ways as a sum of consecutive naturals, for example, 6003223 + ... + 6007240.

It is an arithmetic number, because the mean of its divisors is an integer number (2396087568).

Almost surely, 224129020167 is an apocalyptic number.

24129020167 is a deficient number, since it is larger than the sum of its proper divisors (4624030649).

24129020167 is a wasteful number, since it uses less digits than its factorization.

24129020167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010518 (or 12010511 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 24129020167 in words is "twenty-four billion, one hundred twenty-nine million, twenty thousand, one hundred sixty-seven".

Divisors: 1 7 41 49 287 2009 12010463 84073241 492428983 588512687 3447002881 24129020167