Search a number
-
+
21716603300232 = 2332301619490281
BaseRepresentation
bin1001111000000010010100…
…11011001110100110001000
32211220002100102102101000100
410330001022123032212020
510321301100421101412
6114104245252205400
74400654450230401
oct474011233164610
984802312371010
1021716603300232
116a12a61459855
1225289a6609860
13c16b367854c9
14551136b029a8
15279d7311aedc
hex13c04a6ce988

21716603300232 has 24 divisors (see below), whose sum is σ = 58815800604990. Its totient is φ = 7238867766720.

The previous prime is 21716603300131. The next prime is 21716603300443. The reversal of 21716603300232 is 23200330661712.

21716603300232 is a `hidden beast` number, since 2 + 1 + 7 + 16 + 603 + 3 + 0 + 0 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11116929650436 + 10599673649796 = 3334206^2 + 3255714^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×217166033002322 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150809745069 + ... + 150809745212.

Almost surely, 221716603300232 is an apocalyptic number.

It is an amenable number.

21716603300232 is an abundant number, since it is smaller than the sum of its proper divisors (37099197304758).

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

21716603300232 is a wasteful number, since it uses less digits than its factorization.

21716603300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301619490293 (or 301619490286 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 21716603300232 its reverse (23200330661712), we get a palindrome (44916933961944).

The spelling of 21716603300232 in words is "twenty-one trillion, seven hundred sixteen billion, six hundred three million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 301619490281 603238980562 904858470843 1206477961124 1809716941686 2412955922248 2714575412529 3619433883372 5429150825058 7238867766744 10858301650116 21716603300232