Search a number
-
+
23092987866 = 231319591092423
BaseRepresentation
bin10101100000011100…
…110000011111011010
32012121101112022221220
4111200130300133122
5334243301102431
614335254512510
71445160105144
oct254034603732
965541468856
1023092987866
119880431643
124585965736
132240419080
141190db5c94
1590257bb96
hex5607307da

23092987866 has 128 divisors (see below), whose sum is σ = 53754624000. Its totient is φ = 6554048256.

The previous prime is 23092987861. The next prime is 23092987871. The reversal of 23092987866 is 66878929032.

It is an interprime number because it is at equal distance from previous prime (23092987861) and next prime (23092987871).

It is not an unprimeable number, because it can be changed into a prime (23092987861) 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 63 ways as a sum of consecutive naturals, for example, 9529531 + ... + 9531953.

It is an arithmetic number, because the mean of its divisors is an integer number (419958000).

Almost surely, 223092987866 is an apocalyptic number.

23092987866 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23092987866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26877312000).

23092987866 is an abundant number, since it is smaller than the sum of its proper divisors (30661636134).

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

23092987866 is a wasteful number, since it uses less digits than its factorization.

23092987866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628.

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 23092987866 in words is "twenty-three billion, ninety-two million, nine hundred eighty-seven thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 59 78 109 114 118 177 218 247 327 354 494 654 741 767 1121 1417 1482 1534 2071 2242 2301 2423 2834 3363 4142 4251 4602 4846 6213 6431 6726 7269 8502 12426 12862 14538 14573 19293 26923 29146 31499 38586 43719 46037 53846 62998 80769 83603 87438 92074 94497 122189 138111 142957 161538 167206 188994 244378 250809 264107 276222 285914 366567 428871 501618 528214 598481 733134 792321 857742 1196962 1584642 1588457 1795443 1858441 2716183 3176914 3433391 3590886 3716882 4765371 5018033 5432366 5575323 6866782 8148549 9530742 10036066 10300173 11150646 15054099 15582313 16297098 20600346 30108198 31164626 35310379 46746939 65234429 70620758 93493878 105931137 130468858 195703287 202570069 211862274 296063947 391406574 405140138 592127894 607710207 888191841 1215420414 1776383682 3848831311 7697662622 11546493933 23092987866