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21629366730 = 23251741344801
BaseRepresentation
bin10100001001001101…
…011111000111001010
32001211101110200012200
4110021031133013022
5323244104213410
613534132221030
71363665404136
oct241115370712
961741420180
1021629366730
11919a2393a4
12423776a776
13206912336a
1410928623c6
15868d1b3c0
hex50935f1ca

21629366730 has 96 divisors (see below), whose sum is σ = 60996853008. Its totient is φ = 5296128000.

The previous prime is 21629366701. The next prime is 21629366753. The reversal of 21629366730 is 3766392612.

21629366730 is a `hidden beast` number, since 216 + 2 + 9 + 366 + 73 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5055636609 + 16573730121 = 71103^2 + 128739^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 109671 + ... + 235130.

Almost surely, 221629366730 is an apocalyptic number.

21629366730 is an abundant number, since it is smaller than the sum of its proper divisors (39367486278).

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

21629366730 is a wasteful number, since it uses less digits than its factorization.

21629366730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344872 (or 344869 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 21629366730 in words is "twenty-one billion, six hundred twenty-nine million, three hundred sixty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 41 45 51 82 85 90 102 123 153 170 205 246 255 306 369 410 510 615 697 738 765 1230 1394 1530 1845 2091 3485 3690 4182 6273 6970 10455 12546 20910 31365 62730 344801 689602 1034403 1724005 2068806 3103209 3448010 5172015 5861617 6206418 10344030 11723234 14136841 15516045 17584851 28273682 29308085 31032090 35169702 42410523 52754553 58616170 70684205 84821046 87924255 105509106 127231569 141368410 175848510 212052615 240326297 254463138 263772765 424105230 480652594 527545530 636157845 720978891 1201631485 1272315690 1441957782 2162936673 2403262970 3604894455 4325873346 7209788910 10814683365 21629366730