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21684729648 = 2433159924329
BaseRepresentation
bin10100001100100000…
…101011011100110000
32001222020122101212010
4110030200223130300
5323402242322043
613543431002520
71365240106101
oct241440533460
961866571763
1021684729648
11921851237a
124252209440
13207773879a
141099d543a8
1586db05133
hex50c82b730

21684729648 has 80 divisors (see below), whose sum is σ = 57924864000. Its totient is φ = 6983109120.

The previous prime is 21684729589. The next prime is 21684729673. The reversal of 21684729648 is 84692748612.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879148 + ... + 903476.

It is an arithmetic number, because the mean of its divisors is an integer number (724060800).

Almost surely, 221684729648 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 21684729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28962432000).

21684729648 is an abundant number, since it is smaller than the sum of its proper divisors (36240134352).

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

21684729648 is a wasteful number, since it uses less digits than its factorization.

21684729648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24970 (or 24964 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The spelling of 21684729648 in words is "twenty-one billion, six hundred eighty-four million, seven hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 599 744 1198 1488 1797 2396 3594 4792 7188 9584 14376 18569 24329 28752 37138 48658 55707 72987 74276 97316 111414 145974 148552 194632 222828 291948 297104 389264 445656 583896 754199 891312 1167792 1508398 2262597 3016796 4525194 6033592 9050388 12067184 14573071 18100776 29146142 36201552 43719213 58292284 87438426 116584568 174876852 233169136 349753704 451765201 699507408 903530402 1355295603 1807060804 2710591206 3614121608 5421182412 7228243216 10842364824 21684729648