Search a number
-
+
21242528000 = 28531275227
BaseRepresentation
bin10011110010001001…
…110100000100000000
32000211102120020020022
4103302021310010000
5322001041344000
613431513033012
71351260336341
oct236211640400
960742506208
1021242528000
119010942771
12414a0b5768
132006c3c4c5
1410573260c8
15844da7585
hex4f2274100

21242528000 has 144 divisors (see below), whose sum is σ = 53344671744. Its totient is φ = 8428492800.

The previous prime is 21242527963. The next prime is 21242528003. The reversal of 21242528000 is 82524212.

It is not an unprimeable number, because it can be changed into a prime (21242528003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4061387 + ... + 4066613.

Almost surely, 221242528000 is an apocalyptic number.

21242528000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21242528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26672335872).

21242528000 is an abundant number, since it is smaller than the sum of its proper divisors (32102143744).

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

21242528000 is an equidigital number, since it uses as much as digits as its factorization.

21242528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 21242528000 in words is "twenty-one billion, two hundred forty-two million, five hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 128 160 200 250 254 256 320 400 500 508 635 640 800 1000 1016 1270 1280 1600 2000 2032 2540 3175 3200 4000 4064 5080 5227 6350 6400 8000 8128 10160 10454 12700 15875 16000 16256 20320 20908 25400 26135 31750 32000 32512 40640 41816 50800 52270 63500 81280 83632 101600 104540 127000 130675 162560 167264 203200 209080 254000 261350 334528 406400 418160 508000 522700 653375 663829 669056 812800 836320 1016000 1045400 1306750 1327658 1338112 1672640 2032000 2090800 2613500 2655316 3319145 3345280 4064000 4181600 5227000 5310632 6638290 6690560 8363200 10454000 10621264 13276580 16595725 16726400 20908000 21242528 26553160 33191450 33452800 41816000 42485056 53106320 66382900 82978625 83632000 84970112 106212640 132765800 165957250 167264000 169940224 212425280 265531600 331914500 424850560 531063200 663829000 849701120 1062126400 1327658000 2124252800 2655316000 4248505600 5310632000 10621264000 21242528000