Search a number
-
+
644543345446 = 2711131734754577
BaseRepresentation
bin10010110000100011100…
…01101111001100100110
32021121200100000110021021
421120101301233030212
541030011044023241
61212033224441354
764365246016630
oct11302161571446
92247610013237
10644543345446
11229392a08290
12a4b0031925a
1348a1b081a50
14232a6001a50
1511b756560d1
hex9611c6f326

644543345446 has 128 divisors (see below), whose sum is σ = 1378446418944. Its totient is φ = 217535569920.

The previous prime is 644543345431. The next prime is 644543345471.

It is a happy number.

644543345446 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6445433454462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 644543345393 and 644543345402.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11782510 + ... + 11837086.

It is an arithmetic number, because the mean of its divisors is an integer number (10769112648).

Almost surely, 2644543345446 is an apocalyptic number.

644543345446 is an abundant number, since it is smaller than the sum of its proper divisors (733903073498).

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

644543345446 is a wasteful number, since it uses less digits than its factorization.

644543345446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54974.

The product of its digits is 33177600, while the sum is 52.

It can be divided in two parts, 644543 and 345446, that added together give a palindrome (989989).

The spelling of 644543345446 in words is "six hundred forty-four billion, five hundred forty-three million, three hundred forty-five thousand, four hundred forty-six".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 143 154 182 187 221 238 286 347 374 442 694 1001 1309 1547 2002 2429 2431 2618 3094 3817 4511 4858 4862 5899 7634 9022 11798 17017 26719 31577 34034 41293 49621 53438 54577 63154 64889 76687 82586 99242 109154 129778 153374 347347 382039 454223 536809 600347 694694 709501 764078 843557 908446 927809 1073618 1200694 1419002 1687114 1855618 4202429 4966507 5904899 6494663 7804511 8404858 9933014 10205899 11809798 12061517 12989326 15609022 18938219 20411798 24123034 37876438 54631577 71441293 84430619 109263154 132567533 132676687 142882586 168861238 208320409 246196847 265135066 265353374 321949723 416640818 492393694 643899446 928736809 1458242863 1723377929 1857473618 2253648061 2708165317 2916485726 3446755858 3541446953 4185346399 4507296122 5416330634 7082893906 8370692798 18957157219 24790128671 29297424793 37914314438 46038810389 49580257342 58594849586 92077620778 322271672723 644543345446