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444859325696 = 2841831134519
BaseRepresentation
bin1100111100100111010…
…11101001110100000000
31120112021000022020012002
412132103223221310000
524242032441410241
6540210543123132
744066012610062
oct6362353516400
91515230266162
10444859325696
11161733545795
12722725a34a8
1332c47367246
1417761c93732
15b889cea89b
hex6793ae9d00

444859325696 has 144 divisors (see below), whose sum is σ = 928950906240. Its totient is φ = 212445757440.

The previous prime is 444859325681. The next prime is 444859325707. The reversal of 444859325696 is 696523958444.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 98439725 + ... + 98444243.

It is an arithmetic number, because the mean of its divisors is an integer number (6451047960).

Almost surely, 2444859325696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444859325696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464475453120).

444859325696 is an abundant number, since it is smaller than the sum of its proper divisors (484091580544).

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

444859325696 is a wasteful number, since it uses less digits than its factorization.

444859325696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4758 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 65.

The spelling of 444859325696 in words is "four hundred forty-four billion, eight hundred fifty-nine million, three hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 83 113 128 164 166 226 256 328 332 452 656 664 904 1312 1328 1808 2624 2656 3403 3616 4519 4633 5248 5312 6806 7232 9038 9266 9379 10496 10624 13612 14464 18076 18532 18758 21248 27224 28928 36152 37064 37516 54448 72304 74128 75032 108896 144608 148256 150064 185279 217792 289216 296512 300128 370558 375077 384539 435584 510647 578432 593024 600256 741116 750154 769078 871168 1021294 1156864 1186048 1200512 1482232 1500308 1538156 2042588 2401024 2964464 3000616 3076312 4085176 5928928 6001232 6152624 8170352 11857856 12002464 12305248 15378157 16340704 20936527 23715712 24004928 24610496 30756314 32681408 41873054 42383701 47431424 48009856 49220992 61512628 65362816 83746108 84767402 96019712 98441984 123025256 130725632 167492216 169534804 246050512 334984432 339069608 492101024 669968864 678139216 984202048 1339937728 1356278432 1737731741 1968404096 2679875456 2712556864 3475463482 3936808192 5359750912 5425113728 6950926964 10850227456 13901853928 27803707856 55607415712 111214831424 222429662848 444859325696