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21484595088 = 2433115578117
BaseRepresentation
bin10100000000100101…
…001110011110010000
32001110022001111212000
4110000211032132100
5323000024020323
613511521234000
71360260021315
oct240045163620
961408044760
1021484595088
119125548310
1241b7192900
132045135178
14107b538d0c
1585b270e43
hex50094e790

21484595088 has 160 divisors (see below), whose sum is σ = 67404078720. Its totient is φ = 6497994240.

The previous prime is 21484595071. The next prime is 21484595131. The reversal of 21484595088 is 88059548412.

21484595088 is a `hidden beast` number, since 2 + 1 + 4 + 84 + 59 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2642806 + ... + 2650922.

It is an arithmetic number, because the mean of its divisors is an integer number (421275492).

Almost surely, 221484595088 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 21484595088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33702039360).

21484595088 is an abundant number, since it is smaller than the sum of its proper divisors (45919483632).

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

21484595088 is a wasteful number, since it uses less digits than its factorization.

21484595088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 21484595088 in words is "twenty-one billion, four hundred eighty-four million, five hundred ninety-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 557 594 792 1114 1188 1584 1671 2228 2376 3342 4456 4752 5013 6127 6684 8117 8912 10026 12254 13368 15039 16234 18381 20052 24351 24508 26736 30078 32468 36762 40104 48702 49016 55143 60156 64936 73053 73524 80208 89287 97404 98032 110286 120312 129872 146106 147048 165429 178574 194808 219159 220572 240624 267861 292212 294096 330858 357148 389616 438318 441144 535722 584424 661716 714296 803583 876636 882288 1071444 1168848 1323432 1428592 1607166 1753272 2142888 2410749 2646864 3214332 3506544 4285776 4521169 4821498 6428664 9042338 9642996 12857328 13563507 18084676 19285992 27127014 36169352 38571984 40690521 49732859 54254028 72338704 81381042 99465718 108508056 122071563 149198577 162762084 198931436 217016112 244143126 298397154 325524168 397862872 447595731 488286252 596794308 651048336 795725744 895191462 976572504 1193588616 1342787193 1790382924 1953145008 2387177232 2685574386 3580765848 5371148772 7161531696 10742297544 21484595088