Search a number
-
+
23826743397 = 3217193806893
BaseRepresentation
bin10110001100001011…
…110100000001100101
32021111112012222022200
4112030023310001211
5342244121242042
614540145445113
71502306656122
oct261413640145
967445188280
1023826743397
11a117636a76
12474b640799
132329446942
141220619749
15946bbac4c
hex58c2f4065

23826743397 has 24 divisors (see below), whose sum is σ = 36629760024. Its totient is φ = 14872633344.

The previous prime is 23826743383. The next prime is 23826743399. The reversal of 23826743397 is 79334762832.

23826743397 is a `hidden beast` number, since 238 + 2 + 6 + 74 + 339 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2933197281 + 20893546116 = 54159^2 + 144546^2 .

It is not a de Polignac number, because 23826743397 - 214 = 23826727013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23826743399) 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, 373918 + ... + 432975.

It is an arithmetic number, because the mean of its divisors is an integer number (1526240001).

Almost surely, 223826743397 is an apocalyptic number.

It is an amenable number.

23826743397 is a deficient number, since it is larger than the sum of its proper divisors (12803016627).

23826743397 is a wasteful number, since it uses less digits than its factorization.

23826743397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807109 (or 807106 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 23826743397 in words is "twenty-three billion, eight hundred twenty-six million, seven hundred forty-three thousand, three hundred ninety-seven".

Divisors: 1 3 9 17 51 153 193 579 1737 3281 9843 29529 806893 2420679 7262037 13717181 41151543 123454629 155730349 467191047 1401573141 2647415933 7942247799 23826743397