Search a number
-
+
23036652576 = 2532719016011
BaseRepresentation
bin10101011101000101…
…110110110000100000
32012110110112012110200
4111131011312300200
5334134340340301
614325523225200
71443604213260
oct253505666040
965413465420
1023036652576
119851654053
12456ab18200
132231853192
14118770d7a0
158ec64ec86
hex55d176c20

23036652576 has 144 divisors (see below), whose sum is σ = 74920966848. Its totient is φ = 6577344000.

The previous prime is 23036652571. The next prime is 23036652641. The reversal of 23036652576 is 67525663032.

23036652576 is a `hidden beast` number, since 2 + 30 + 366 + 5 + 257 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (23036652571) 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, 3829411 + ... + 3835421.

It is an arithmetic number, because the mean of its divisors is an integer number (520284492).

Almost surely, 223036652576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23036652576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37460483424).

23036652576 is an abundant number, since it is smaller than the sum of its proper divisors (51884314272).

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

23036652576 is a wasteful number, since it uses less digits than its factorization.

23036652576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 23036652576 in words is "twenty-three billion, thirty-six million, six hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1901 2016 3802 5703 6011 7604 11406 12022 13307 15208 17109 18033 22812 24044 26614 30416 34218 36066 39921 42077 45624 48088 53228 54099 60832 68436 72132 79842 84154 91248 96176 106456 108198 119763 126231 136872 144264 159684 168308 182496 192352 212912 216396 239526 252462 273744 288528 319368 336616 378693 425824 432792 479052 504924 547488 577056 638736 673232 757386 865584 958104 1009848 1277472 1346464 1514772 1731168 1916208 2019696 3029544 3832416 4039392 6059088 11426911 12118176 22853822 34280733 45707644 68561466 79988377 91415288 102842199 137122932 159976754 182830576 205684398 239965131 274245864 319953508 365661152 411368796 479930262 548491728 639907016 719895393 822737592 959860524 1096983456 1279814032 1439790786 1645475184 1919721048 2559628064 2879581572 3290950368 3839442096 5759163144 7678884192 11518326288 23036652576