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21307486320 = 2433519151647
BaseRepresentation
bin10011110110000001…
…100111000001110000
32000222221210110022000
4103312001213001300
5322114204030240
613442153214000
71353006434241
oct236601470160
960887713260
1021307486320
11904457a92a
124167a01300
132017534293
141061bd4cc8
1584a939430
hex4f6067070

21307486320 has 160 divisors (see below), whose sum is σ = 73778135040. Its totient is φ = 5652138240.

The previous prime is 21307486309. The next prime is 21307486337. The reversal of 21307486320 is 2368470312.

It is a happy number.

21307486320 is a `hidden beast` number, since 2 + 13 + 0 + 7 + 4 + 8 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386737 + ... + 438383.

It is an arithmetic number, because the mean of its divisors is an integer number (461113344).

Almost surely, 221307486320 is an apocalyptic number.

21307486320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21307486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36889067520).

21307486320 is an abundant number, since it is smaller than the sum of its proper divisors (52470648720).

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

21307486320 is a wasteful number, since it uses less digits than its factorization.

21307486320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51860 (or 51848 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21307486320 in words is "twenty-one billion, three hundred seven million, four hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 191 216 240 270 360 382 432 540 573 720 764 955 1080 1146 1528 1719 1910 2160 2292 2865 3056 3438 3820 4584 5157 5730 6876 7640 8595 9168 10314 11460 13752 15280 17190 20628 22920 25785 27504 34380 41256 45840 51570 51647 68760 82512 103140 103294 137520 154941 206280 206588 258235 309882 412560 413176 464823 516470 619764 774705 826352 929646 1032940 1239528 1394469 1549410 1859292 2065880 2324115 2479056 2788938 3098820 3718584 4131760 4648230 5577876 6197640 6972345 7437168 9296460 9864577 11155752 12395280 13944690 18592920 19729154 22311504 27889380 29593731 37185840 39458308 49322885 55778760 59187462 78916616 88781193 98645770 111557520 118374924 147968655 157833232 177562386 197291540 236749848 266343579 295937310 355124772 394583080 443905965 473499696 532687158 591874620 710249544 789166160 887811930 1065374316 1183749240 1331717895 1420499088 1775623860 2130748632 2367498480 2663435790 3551247720 4261497264 5326871580 7102495440 10653743160 21307486320