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21303546372 = 22334119125189
BaseRepresentation
bin10011110101110010…
…100101001000000100
32000222200101021201000
4103311302211020010
5322112201440442
613441532533300
71352631104433
oct236562451004
960880337630
1021303546372
119042329779
124166621230
132016784b54
14106148b11a
1584a40bd4c
hex4f5ca5204

21303546372 has 96 divisors (see below), whose sum is σ = 56877004800. Its totient is φ = 6891436800.

The previous prime is 21303546371. The next prime is 21303546389. The reversal of 21303546372 is 27364530312.

21303546372 is a `hidden beast` number, since 2 + 13 + 0 + 3 + 5 + 4 + 637 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21303546371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833154 + ... + 858342.

It is an arithmetic number, because the mean of its divisors is an integer number (592468800).

Almost surely, 221303546372 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 21303546372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28438502400).

21303546372 is an abundant number, since it is smaller than the sum of its proper divisors (35573458428).

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

21303546372 is a wasteful number, since it uses less digits than its factorization.

21303546372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25434 (or 25426 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 21303546372 in words is "twenty-one billion, three hundred three million, five hundred forty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 191 246 369 382 492 573 738 764 1107 1146 1476 1719 2214 2292 3438 4428 5157 6876 7831 10314 15662 20628 23493 25189 31324 46986 50378 70479 75567 93972 100756 140958 151134 211437 226701 281916 302268 422874 453402 680103 845748 906804 1032749 1360206 2065498 2720412 3098247 4130996 4811099 6196494 9294741 9622198 12392988 14433297 18589482 19244396 27884223 28866594 37178964 43299891 55768446 57733188 86599782 111536892 129899673 173199564 197255059 259799346 394510118 519598692 591765177 789020236 1183530354 1775295531 2367060708 3550591062 5325886593 7101182124 10651773186 21303546372