Search a number
-
+
445872072213 = 326121110873541
BaseRepresentation
bin1100111110100000000…
…10111110011000010101
31120121212120222002020100
412133100002332120111
524301121222302323
6540455241524313
744133061036611
oct6372002763025
91517776862210
10445872072213
11162103185187
12724b57a3699
1333079118139
141781a59c341
15b8e8b98943
hex67d00be615

445872072213 has 48 divisors (see below), whose sum is σ = 658488742912. Its totient is φ = 290639664000.

The previous prime is 445872072209. The next prime is 445872072221. The reversal of 445872072213 is 312270278544.

445872072213 is a `hidden beast` number, since 44 + 587 + 2 + 0 + 7 + 2 + 21 + 3 = 666.

It is not a de Polignac number, because 445872072213 - 22 = 445872072209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445872072203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 125915223 + ... + 125918763.

Almost surely, 2445872072213 is an apocalyptic number.

It is an amenable number.

445872072213 is a deficient number, since it is larger than the sum of its proper divisors (212616670699).

445872072213 is a wasteful number, since it uses less digits than its factorization.

445872072213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 445872072213 in words is "four hundred forty-five billion, eight hundred seventy-two million, seventy-two thousand, two hundred thirteen".

Divisors: 1 3 9 61 183 211 549 633 1087 1899 3261 3541 9783 10623 12871 31869 38613 66307 115839 198921 216001 229357 596763 648003 688071 747151 1944009 2064213 2241453 3849067 6724359 11547201 13990777 34641603 41972331 45576211 125916993 136728633 234793087 410185899 704379261 812153137 2113137783 2436459411 7309378233 49541341357 148624024071 445872072213