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21869085924 = 2232745032
BaseRepresentation
bin10100010111011111…
…111100010011100100
32002110002112200010100
4110113133330103210
5324241441222144
614014014224100
71402636110000
oct242737742344
962402480110
1021869085924
11930258aa34
1242a3ab5030
1320a69a643a
1410b6623700
1587edbe269
hex5177fc4e4

21869085924 has 135 divisors (see below), whose sum is σ = 64618182083. Its totient is φ = 6235888176.

The previous prime is 21869085913. The next prime is 21869085971. The reversal of 21869085924 is 42958096812.

It is a happy number.

The square root of 21869085924 is 147882.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43477057 + ... + 43477559.

Almost surely, 221869085924 is an apocalyptic number.

21869085924 is the 147882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21869085924

21869085924 is an abundant number, since it is smaller than the sum of its proper divisors (42749096159).

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

21869085924 is an frugal number, since it uses more digits than its factorization.

21869085924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 21869085924 in words is "twenty-one billion, eight hundred sixty-nine million, eighty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 503 588 686 882 1006 1029 1372 1509 1764 2012 2058 2401 3018 3087 3521 4116 4527 4802 6036 6174 7042 7203 9054 9604 10563 12348 14084 14406 18108 21126 21609 24647 28812 31689 42252 43218 49294 63378 73941 86436 98588 126756 147882 172529 221823 253009 295764 345058 443646 506018 517587 690116 759027 887292 1012036 1035174 1207703 1518054 1552761 1771063 2070348 2277081 2415406 3036108 3105522 3542126 3623109 4554162 4830812 5313189 6211044 7084252 7246218 9108324 10626378 10869327 12397441 14492436 15939567 21252756 21738654 24794882 31879134 37192323 43477308 49589764 63758268 74384646 86782087 111576969 148769292 173564174 223153938 260346261 347128348 446307876 520692522 607474609 781038783 1041385044 1214949218 1562077566 1822423827 2429898436 3124155132 3644847654 5467271481 7289695308 10934542962 21869085924