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23500133316 = 22331169128627
BaseRepresentation
bin10101111000101101…
…111001001111000100
32020122202122110112000
4111320231321033010
5341112013231231
614443521225300
71461232560132
oct257055711704
966582573460
1023500133316
119a6a237a90
12467a192230
1322a688cb3a
1411cd0ba752
159281a26e6
hex578b793c4

23500133316 has 96 divisors (see below), whose sum is σ = 66563535360. Its totient is φ = 7110698400.

The previous prime is 23500133233. The next prime is 23500133329. The reversal of 23500133316 is 61333100532.

It is a happy number.

23500133316 is a `hidden beast` number, since 23 + 500 + 133 + 3 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23500133316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806595 + ... + 835221.

It is an arithmetic number, because the mean of its divisors is an integer number (693370160).

Almost surely, 223500133316 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 23500133316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33281767680).

23500133316 is an abundant number, since it is smaller than the sum of its proper divisors (43063402044).

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

23500133316 is a wasteful number, since it uses less digits than its factorization.

23500133316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29342 (or 29334 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 23500133316 its reverse (61333100532), we get a palindrome (84833233848).

It can be divided in two parts, 23500 and 133316, that added together give a square (156816 = 3962).

The spelling of 23500133316 in words is "twenty-three billion, five hundred million, one hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 691 1188 1382 2073 2764 4146 6219 7601 8292 12438 15202 18657 22803 24876 28627 30404 37314 45606 57254 68409 74628 85881 91212 114508 136818 171762 205227 257643 273636 314897 343524 410454 515286 629794 772929 820908 944691 1030572 1259588 1545858 1889382 2834073 3091716 3778764 5668146 8502219 11336292 17004438 19781257 34008876 39562514 59343771 79125028 118687542 178031313 217593827 237375084 356062626 435187654 534093939 652781481 712125252 870375308 1068187878 1305562962 1958344443 2136375756 2611125924 3916688886 5875033329 7833377772 11750066658 23500133316