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21144333252 = 223753792761
BaseRepresentation
bin10011101100010011…
…001110101111000100
32000120120210102100210
4103230103032233010
5321300422131002
613414044235420
71345655603310
oct235423165704
960516712323
1021144333252
118a70474589
12412123bb70
131cbc7ab5c3
141048284b40
1583b45c96c
hex4ec4cebc4

21144333252 has 144 divisors (see below), whose sum is σ = 58261617792. Its totient is φ = 5844533760.

The previous prime is 21144333191. The next prime is 21144333307. The reversal of 21144333252 is 25233344112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27784552 + ... + 27785312.

It is an arithmetic number, because the mean of its divisors is an integer number (404594568).

Almost surely, 221144333252 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 21144333252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29130808896).

21144333252 is an abundant number, since it is smaller than the sum of its proper divisors (37117284540).

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

21144333252 is a wasteful number, since it uses less digits than its factorization.

21144333252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 905 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 21144333252 its reverse (25233344112), we get a palindrome (46377677364).

The spelling of 21144333252 in words is "twenty-one billion, one hundred forty-four million, three hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 79 84 106 158 159 212 237 316 318 371 474 553 636 742 761 948 1106 1113 1484 1522 1659 2212 2226 2283 3044 3318 4187 4452 4566 5327 6241 6636 8374 9132 10654 12482 12561 15981 16748 18723 21308 24964 25122 29309 31962 37446 40333 43687 50244 58618 60119 63924 74892 80666 87374 87927 117236 120238 120999 131061 161332 174748 175854 180357 240476 241998 262122 282331 330773 351708 360714 420833 483996 524244 564662 661546 721428 841666 846993 992319 1129324 1262499 1323092 1683332 1693986 1984638 2315411 2524998 3186307 3387972 3969276 4630822 4749401 5049996 6372614 6946233 9261644 9498802 9558921 12745228 13892466 14248203 18997604 19117842 22304149 27784932 28496406 33245807 38235684 44608298 56992812 66491614 66912447 89216596 99737421 132983228 133824894 199474842 251718253 267649788 398949684 503436506 755154759 1006873012 1510309518 1762027771 3020619036 3524055542 5286083313 7048111084 10572166626 21144333252