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21879691328 = 2611416911097
BaseRepresentation
bin10100011000001000…
…011001100001000000
32002110211111111000002
4110120020121201000
5324302200110303
614015033415132
71403125210355
oct243010314100
962424444002
1021879691328
119308573a30
1242a756a4a8
1320a8c4a721
1410b7bc462c
15880cb6788
hex518219840

21879691328 has 112 divisors (see below), whose sum is σ = 48634302528. Its totient is φ = 9679872000.

The previous prime is 21879691303. The next prime is 21879691343. The reversal of 21879691328 is 82319697812.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19944476 + ... + 19945572.

It is an arithmetic number, because the mean of its divisors is an integer number (434234844).

Almost surely, 221879691328 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 21879691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24317151264).

21879691328 is an abundant number, since it is smaller than the sum of its proper divisors (26754611200).

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

21879691328 is a wasteful number, since it uses less digits than its factorization.

21879691328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1842 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 56.

The spelling of 21879691328 in words is "twenty-one billion, eight hundred seventy-nine million, six hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 691 704 902 1097 1312 1382 1804 2194 2624 2764 3608 4388 5528 7216 7601 8776 11056 12067 14432 15202 17552 22112 24134 28331 28864 30404 35104 44224 44977 48268 56662 60808 70208 89954 96536 113324 121616 179908 193072 226648 243232 311641 359816 386144 453296 486464 494747 623282 719632 758027 772288 906592 989494 1246564 1439264 1516054 1813184 1978988 2493128 2878528 3032108 3957976 4986256 6064216 7915952 8338297 9972512 12128432 15831904 16676594 19945024 24256864 31079107 31663808 33353188 48513728 62158214 66706376 124316428 133412752 248632856 266825504 341870177 497265712 533651008 683740354 994531424 1367480708 1989062848 2734961416 5469922832 10939845664 21879691328