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644424424446 = 2311431012339649
BaseRepresentation
bin10010110000010101011…
…00000101101111111110
32021121101001020122022210
421120022230011233332
541024240123040241
61212013335521250
764362303141315
oct11301254055776
92247331218283
10644424424446
11229331873170
12a4a88529226
13489cc544caa
14232942c727c
1511b69eb5316
hex960ab05bfe

644424424446 has 128 divisors (see below), whose sum is σ = 1459346803200. Its totient is φ = 188020224000.

The previous prime is 644424424439. The next prime is 644424424477.

It is a happy number.

644424424446 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 644424424395 and 644424424404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66781830 + ... + 66791478.

It is an arithmetic number, because the mean of its divisors is an integer number (11401146900).

Almost surely, 2644424424446 is an apocalyptic number.

644424424446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 644424424446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729673401600).

644424424446 is an abundant number, since it is smaller than the sum of its proper divisors (814922378754).

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

644424424446 is a wasteful number, since it uses less digits than its factorization.

644424424446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042.

The product of its digits is 9437184, while the sum is 48.

The spelling of 644424424446 in words is "six hundred forty-four billion, four hundred twenty-four million, four hundred twenty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 43 66 86 101 129 202 233 258 303 466 473 606 699 946 1111 1398 1419 2222 2563 2838 3333 4343 5126 6666 7689 8686 9649 10019 13029 15378 19298 20038 23533 26058 28947 30057 47066 47773 57894 60114 70599 95546 106139 110209 141198 143319 212278 220418 258863 286638 318417 330627 414907 517726 636834 661254 776589 829814 974549 1011919 1244721 1553178 1949098 2023838 2248217 2489442 2923647 3035757 4496434 4563977 5847294 6071514 6744651 9127954 10720039 11131109 13489302 13691931 21440078 22262218 24730387 27383862 32160117 33393327 41905607 49460774 64320234 66786654 74191161 83811214 96673331 125716821 148382322 193346662 227069917 251433642 290019993 454139834 460961677 580039986 681209751 921923354 1063406641 1362419502 1382885031 2126813282 2497769087 2765770062 3190219923 4995538174 6380439846 7493307261 9764006431 14986614522 19528012862 29292019293 58584038586 107404070741 214808141482 322212212223 644424424446