Search a number
-
+
20434821368577 = 3711373533676727
BaseRepresentation
bin1001010010101110110100…
…10001001100101100000001
32200100112211211120200100020
410221113122101030230001
510134301003232243302
6111243343301044053
74206236631460620
oct451273221145401
980315754520306
1020434821368577
1165693a4a22aa0
1223604a43b6629
13b52cc2b30a85
1450909cd0b6b7
152568537c6ebc
hex1295da44cb01

20434821368577 has 64 divisors (see below), whose sum is σ = 34897596125184. Its totient is φ = 10325647722240.

The previous prime is 20434821368477. The next prime is 20434821368581. The reversal of 20434821368577 is 77586312843402.

It is not a de Polignac number, because 20434821368577 - 28 = 20434821368321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20434821368577.

It is not an unprimeable number, because it can be changed into a prime (20434821368587) 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 63 ways as a sum of consecutive naturals, for example, 29858188 + ... + 30534914.

It is an arithmetic number, because the mean of its divisors is an integer number (545274939456).

Almost surely, 220434821368577 is an apocalyptic number.

It is an amenable number.

20434821368577 is a deficient number, since it is larger than the sum of its proper divisors (14462774756607).

20434821368577 is a wasteful number, since it uses less digits than its factorization.

20434821368577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680318.

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 20434821368577 in words is "twenty trillion, four hundred thirty-four billion, eight hundred twenty-one million, three hundred sixty-eight thousand, five hundred seventy-seven".

Divisors: 1 3 7 11 21 33 37 77 111 231 259 407 777 1221 2849 3533 8547 10599 24731 38863 74193 116589 130721 272041 392163 676727 816123 915047 1437931 2030181 2745141 4313793 4737089 7443997 10065517 14211267 22331991 25038899 30196551 52107979 75116697 156323937 175272293 275427889 525816879 826283667 1927995223 2390876491 5783985669 7172629473 16736135437 26299641401 50208406311 78898924203 88462430167 184097489807 265387290501 552292469421 619237011169 973086731837 1857711033507 2919260195511 6811607122859 20434821368577