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644673376446 = 2311471732235387
BaseRepresentation
bin10010110000110011000…
…01110001000010111110
32021122000101200201021020
421120121201301002332
541030242341021241
61212054151445010
764401415200021
oct11303141610276
92248011621236
10644673376446
1122944a350520
12a4b37986766
1348a3bcab678
14232b93ad1b8
1511b81c8db66
hex96198710be

644673376446 has 128 divisors (see below), whose sum is σ = 1451538579456. Its totient is φ = 189206302080.

The previous prime is 644673376411. The next prime is 644673376483.

644673376446 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 644673376446.

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, 119669365 + ... + 119674751.

It is an arithmetic number, because the mean of its divisors is an integer number (11340145152).

Almost surely, 2644673376446 is an apocalyptic number.

644673376446 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 644673376446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725769289728).

644673376446 is an abundant number, since it is smaller than the sum of its proper divisors (806865203010).

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

644673376446 is a wasteful number, since it uses less digits than its factorization.

644673376446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846.

The product of its digits is 146313216, while the sum is 60.

The spelling of 644673376446 in words is "six hundred forty-four billion, six hundred seventy-three million, three hundred seventy-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 173 223 282 346 446 517 519 669 1034 1038 1338 1551 1903 2453 3102 3806 4906 5387 5709 7359 8131 10481 10774 11418 14718 16161 16262 20962 24393 31443 32322 38579 48786 59257 62886 77158 89441 115291 115737 118514 177771 178882 230582 231474 253189 268323 345873 355542 424369 506378 536646 691746 759567 848738 931951 1201301 1273107 1519134 1813213 1863902 2402602 2546214 2785079 2795853 3603903 3626426 5439639 5570158 5591706 7207806 8355237 10251461 10879278 13214311 16710474 19945343 20502922 26428622 30754383 39642933 39890686 43801697 56461147 59836029 61508766 79285866 87603394 112922294 119672058 131405091 169383441 207825073 262810182 338766882 415650146 481818667 621072617 623475219 963637334 1242145234 1246950438 1445456001 1863217851 2286075803 2890912002 3726435702 4572151606 6858227409 9767778431 13716454818 19535556862 29303335293 58606670586 107445562741 214891125482 322336688223 644673376446