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22808416488 = 233111322929021
BaseRepresentation
bin10101001111011111…
…001101000011101000
32011212120001121102020
4111033133031003220
5333202423311423
614251131304440
71435133225034
oct251737150350
964776047366
1022808416488
119744835990
1245065ab120
1321c6490a40
14116529b1c4
158d75b94e3
hex54f7cd0e8

22808416488 has 128 divisors (see below), whose sum is σ = 67284604800. Its totient is φ = 6351897600.

The previous prime is 22808416447. The next prime is 22808416523. The reversal of 22808416488 is 88461480822.

It is a self number, because there is not a number n which added to its sum of digits gives 22808416488.

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, 771418 + ... + 800438.

It is an arithmetic number, because the mean of its divisors is an integer number (525660975).

Almost surely, 222808416488 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 22808416488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33642302400).

22808416488 is an abundant number, since it is smaller than the sum of its proper divisors (44476188312).

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

22808416488 is a wasteful number, since it uses less digits than its factorization.

22808416488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29283 (or 29279 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 22808416488 in words is "twenty-two billion, eight hundred eight million, four hundred sixteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 229 264 286 312 429 458 572 687 858 916 1144 1374 1716 1832 2519 2748 2977 3432 5038 5496 5954 7557 8931 10076 11908 15114 17862 20152 23816 29021 30228 32747 35724 58042 60456 65494 71448 87063 98241 116084 130988 174126 196482 232168 261976 319231 348252 377273 392964 638462 696504 754546 785928 957693 1131819 1276924 1509092 1915386 2263638 2553848 3018184 3830772 4150003 4527276 6645809 7661544 8300006 9054552 12450009 13291618 16600012 19937427 24900018 26583236 33200024 39874854 49800036 53166472 73103899 79749708 86395517 99600072 146207798 159499416 172791034 219311697 259186551 292415596 345582068 438623394 518373102 584831192 691164136 877246788 950350687 1036746204 1754493576 1900701374 2073492408 2851052061 3801402748 5702104122 7602805496 11404208244 22808416488