Search a number
-
+
445663567120701 = 319431091668158539
BaseRepresentation
bin110010101010101000010001…
…0100110111000100100111101
32011102222000120020220121210110
41211111100202212320210331
5431403222441140330301
64215503003310100233
7162605062436145666
oct14525204246704475
92142860506817713
10445663567120701
1111a00294823a416
1241b98702aaa679
1316189b81301857
147c0a335c7436d
15367caeada70d6
hex19554229b893d

445663567120701 has 32 divisors (see below), whose sum is σ = 645910986688000. Its totient is φ = 272403616621248.

The previous prime is 445663567120627. The next prime is 445663567120729. The reversal of 445663567120701 is 107021765366544.

It is not a de Polignac number, because 445663567120701 - 210 = 445663567119677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445663567120771) 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 31 ways as a sum of consecutive naturals, for example, 833812111 + ... + 834346428.

It is an arithmetic number, because the mean of its divisors is an integer number (20184718334000).

Almost surely, 2445663567120701 is an apocalyptic number.

It is an amenable number.

445663567120701 is a deficient number, since it is larger than the sum of its proper divisors (200247419567299).

445663567120701 is a wasteful number, since it uses less digits than its factorization.

445663567120701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668158713.

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 445663567120701 in words is "four hundred forty-five trillion, six hundred sixty-three billion, five hundred sixty-seven million, one hundred twenty thousand, seven hundred one".

Divisors: 1 3 19 43 57 109 129 327 817 2071 2451 4687 6213 14061 89053 267159 1668158539 5004475617 31695012241 71730817177 95085036723 181829280751 215192451531 545487842253 1362885526363 3454756334269 4088656579089 7818659072293 10364269002807 23455977216879 148554522373567 445663567120701