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21690416241 = 3213464939877
BaseRepresentation
bin10100001100110110…
…010111110001110001
32001222122100022101200
4110030312113301301
5323410221304431
613544152521413
71365336332064
oct241466276161
961878308350
1021690416241
11922074683a
1242540b0269
132078979c30
14109a9d48db
1586e379ee6
hex50cd97c71

21690416241 has 24 divisors (see below), whose sum is σ = 33748751400. Its totient is φ = 13344742656.

The previous prime is 21690416201. The next prime is 21690416243. The reversal of 21690416241 is 14261409612.

21690416241 is a `hidden beast` number, since 21 + 6 + 9 + 0 + 4 + 1 + 624 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2146376241 + 19544040000 = 46329^2 + 139800^2 .

It is not a de Polignac number, because 21690416241 - 213 = 21690408049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21690416196 and 21690416205.

It is not an unprimeable number, because it can be changed into a prime (21690416243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523995 + ... + 563871.

It is an arithmetic number, because the mean of its divisors is an integer number (1406197975).

Almost surely, 221690416241 is an apocalyptic number.

It is an amenable number.

21690416241 is a deficient number, since it is larger than the sum of its proper divisors (12058335159).

21690416241 is a wasteful number, since it uses less digits than its factorization.

21690416241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44545 (or 44542 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21690416241 in words is "twenty-one billion, six hundred ninety million, four hundred sixteen thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 4649 13947 39877 41841 60437 119631 181311 358893 518401 543933 1555203 4665609 185388173 556164519 1668493557 2410046249 7230138747 21690416241