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21285868944 = 2434320175113
BaseRepresentation
bin10011110100101111…
…001001010110010000
32000221110010011211110
4103310233021112100
5322043140301234
613440102013320
71352324620644
oct236457112620
960843104743
1021285868944
11903335542a
124160717240
132012c05932
14105cda8c24
15848ab91e9
hex4f4bc9590

21285868944 has 80 divisors (see below), whose sum is σ = 56306203712. Its totient is φ = 6925492224.

The previous prime is 21285868943. The next prime is 21285868973. The reversal of 21285868944 is 44986858212.

It is a super-2 number, since 2×212858689442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21285868943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4160532 + ... + 4165644.

Almost surely, 221285868944 is an apocalyptic number.

21285868944 is a gapful number since it is divisible by the number (24) 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 21285868944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153101856).

21285868944 is an abundant number, since it is smaller than the sum of its proper divisors (35020334768).

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

21285868944 is a wasteful number, since it uses less digits than its factorization.

21285868944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7178 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 57.

The spelling of 21285868944 in words is "twenty-one billion, two hundred eighty-five million, eight hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2017 2064 4034 5113 6051 8068 10226 12102 15339 16136 20452 24204 30678 32272 40904 48408 61356 81808 86731 96816 122712 173462 219859 245424 260193 346924 439718 520386 659577 693848 879436 1040772 1319154 1387696 1758872 2081544 2638308 3517744 4163088 5276616 10312921 10553232 20625842 30938763 41251684 61877526 82503368 123755052 165006736 247510104 443455603 495020208 886911206 1330366809 1773822412 2660733618 3547644824 5321467236 7095289648 10642934472 21285868944