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21866674048 = 271724712577
BaseRepresentation
bin10100010111010110…
…101111011110000000
32002102221000010122121
4110113112233132000
5324240332032143
614013450414024
71402606443202
oct242726573600
962387003577
1021866674048
11930119294a
1242a3131314
1320a63406ab
1410b6196772
1587ea947ed
hex5175af780

21866674048 has 96 divisors (see below), whose sum is σ = 47264099040. Its totient is φ = 10070458368.

The previous prime is 21866674003. The next prime is 21866674117. The reversal of 21866674048 is 84047666812.

It is a junction number, because it is equal to n+sod(n) for n = 21866673986 and 21866674004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732336 + ... + 1744912.

It is an arithmetic number, because the mean of its divisors is an integer number (492334365).

Almost surely, 221866674048 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 21866674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23632049520).

21866674048 is an abundant number, since it is smaller than the sum of its proper divisors (25397424992).

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

21866674048 is a wasteful number, since it uses less digits than its factorization.

21866674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12672 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 21866674048 in words is "twenty-one billion, eight hundred sixty-six million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 272 289 376 544 578 752 799 1088 1156 1504 1598 2176 2312 3008 3196 4624 6016 6392 9248 12577 12784 13583 18496 25154 25568 27166 36992 50308 51136 54332 100616 102272 108664 201232 213809 217328 402464 427618 434656 591119 804928 855236 869312 1182238 1609856 1710472 1738624 2364476 3420944 3634753 4728952 6841888 7269506 9457904 10049023 13683776 14539012 18915808 20098046 27367552 29078024 37831616 40196092 58156048 75663232 80392184 116312096 160784368 170833391 232624192 321568736 341666782 465248384 643137472 683333564 1286274944 1366667128 2733334256 5466668512 10933337024 21866674048