Search a number
-
+
23008913874 = 23217112966601
BaseRepresentation
bin10101011011011100…
…000010100111010010
32012101112022221010100
4111123130002213102
5334110240220444
614323052513230
71443116353362
oct253334024722
965345287110
1023008913874
119837a28601
12456177b816
132228b9054b
141183b6c9a2
158e9ec0e69
hex55b7029d2

23008913874 has 48 divisors (see below), whose sum is σ = 52832702520. Its totient is φ = 7211980800.

The previous prime is 23008913843. The next prime is 23008913923. The reversal of 23008913874 is 47831980032.

It can be written as a sum of positive squares in 4 ways, for example, as 20567862225 + 2441051649 = 143415^2 + 49407^2 .

It is a super-2 number, since 2×230089138742 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 312174 + ... + 378774.

Almost surely, 223008913874 is an apocalyptic number.

23008913874 is an abundant number, since it is smaller than the sum of its proper divisors (29823788646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23008913874 is a wasteful number, since it uses less digits than its factorization.

23008913874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67755 (or 67752 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23008913874 in words is "twenty-three billion, eight million, nine hundred thirteen thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1129 2258 3387 6774 10161 19193 20322 38386 57579 66601 115158 133202 172737 199803 345474 399606 599409 1132217 1198818 2264434 3396651 6793302 10189953 20379906 75192529 150385058 225577587 451155174 676732761 1278272993 1353465522 2556545986 3834818979 7669637958 11504456937 23008913874