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21485952360 = 23325421714153
BaseRepresentation
bin10100000000101010…
…011001110101101000
32001110101121110200100
4110000222121311220
5323000400433420
613512010305400
71360304403345
oct240052316550
961411543610
1021485952360
119126295024
1241b7728260
1320454bbba2
14107b7ad7cc
1585b43d190
hex500a99d68

21485952360 has 96 divisors (see below), whose sum is σ = 69850839240. Its totient is φ = 5727823872.

The previous prime is 21485952359. The next prime is 21485952391. The reversal of 21485952360 is 6325958412.

21485952360 is a `hidden beast` number, since 2 + 1 + 485 + 95 + 23 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19599440004 + 1886512356 = 139998^2 + 43434^2 .

It is a super-2 number, since 2×214859523602 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1511044 + ... + 1525196.

Almost surely, 221485952360 is an apocalyptic number.

21485952360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21485952360 is an abundant number, since it is smaller than the sum of its proper divisors (48364886880).

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

21485952360 is a wasteful number, since it uses less digits than its factorization.

21485952360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18387 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 21485952360 in words is "twenty-one billion, four hundred eighty-five million, nine hundred fifty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4217 8434 12651 14153 16868 21085 25302 28306 33736 37953 42170 42459 50604 56612 63255 70765 75906 84340 84918 101208 113224 126510 127377 141530 151812 168680 169836 189765 212295 253020 254754 283060 303624 339672 379530 424590 506040 509508 566120 636885 759060 849180 1019016 1273770 1518120 1698360 2547540 5095080 59683201 119366402 179049603 238732804 298416005 358099206 477465608 537148809 596832010 716198412 895248015 1074297618 1193664020 1432396824 1790496030 2148595236 2387328040 2685744045 3580992060 4297190472 5371488090 7161984120 10742976180 21485952360