Search a number
-
+
445828668201 = 32721010949361
BaseRepresentation
bin1100111110011010111…
…01011001101100101001
31120121202120021221010100
412133031131121230221
524301024114340301
6540451051340013
744132023103400
oct6371535315451
91517676257110
10445828668201
1116209072a0a4
12724a3151609
133307012c0a7
1417814900637
15b8e4e73286
hex67cd759b29

445828668201 has 18 divisors (see below), whose sum is σ = 749113477242. Its totient is φ = 254759238720.

The previous prime is 445828668199. The next prime is 445828668283. The reversal of 445828668201 is 102866828544.

It can be written as a sum of positive squares in only one way, i.e., 276949587600 + 168879080601 = 526260^2 + 410949^2 .

It is not a de Polignac number, because 445828668201 - 21 = 445828668199 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (445828668301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 505474240 + ... + 505475121.

Almost surely, 2445828668201 is an apocalyptic number.

It is an amenable number.

445828668201 is a deficient number, since it is larger than the sum of its proper divisors (303284809041).

445828668201 is a wasteful number, since it uses less digits than its factorization.

445828668201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010949381 (or 1010949371 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 445828668201 in words is "four hundred forty-five billion, eight hundred twenty-eight million, six hundred sixty-eight thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 1010949361 3032848083 7076645527 9098544249 21229936581 49536518689 63689809743 148609556067 445828668201