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23946929829 = 342911390217
BaseRepresentation
bin10110010011010110…
…010010011010100101
32021210220101002010000
4112103112102122211
5343020403223304
615000121451513
71505266354644
oct262326223245
967726332100
1023946929829
11a1794658a9
124783940b99
132348307684
14123258335b
1595250b939
hex5935926a5

23946929829 has 40 divisors (see below), whose sum is σ = 37334012760. Its totient is φ = 15277538304.

The previous prime is 23946929807. The next prime is 23946929873. The reversal of 23946929829 is 92892964932.

It can be written as a sum of positive squares in 4 ways, for example, as 2102681025 + 21844248804 = 45855^2 + 147798^2 .

It is not a de Polignac number, because 23946929829 - 215 = 23946897061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23946928829) 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 39 ways as a sum of consecutive naturals, for example, 220329 + ... + 310545.

It is an arithmetic number, because the mean of its divisors is an integer number (933350319).

Almost surely, 223946929829 is an apocalyptic number.

23946929829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

23946929829 is a deficient number, since it is larger than the sum of its proper divisors (13387082931).

23946929829 is a wasteful number, since it uses less digits than its factorization.

23946929829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90371 (or 90362 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 23946929829 in words is "twenty-three billion, nine hundred forty-six million, nine hundred twenty-nine thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 29 81 87 113 261 339 783 1017 2349 3051 3277 9153 9831 29493 88479 90217 265437 270651 811953 2435859 2616293 7307577 7848879 10194521 23546637 30583563 70639911 91750689 211919733 275252067 295641109 825756201 886923327 2660769981 7982309943 23946929829