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445105333431462 = 231137107215920239
BaseRepresentation
bin110010100110100100010100…
…1010010010110110010100110
32011100222122122222201222122210
41211031020221102112302212
5431320101210324301322
64214354322312504250
7162516541046113554
oct14515105122266246
92140878588658583
10445105333431462
11119908125939320
1241b0848b6ab086
131614933964c6c2
147bcb2da9c4bd4
15366d327b2270c
hex194d229496ca6

445105333431462 has 96 divisors (see below), whose sum is σ = 1006794449256960. Its totient is φ = 130008484365120.

The previous prime is 445105333431403. The next prime is 445105333431491. The reversal of 445105333431462 is 264134333501544.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19998339 + ... + 35918577.

It is an arithmetic number, because the mean of its divisors is an integer number (10487442179760).

Almost surely, 2445105333431462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445105333431462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503397224628480).

445105333431462 is an abundant number, since it is smaller than the sum of its proper divisors (561689115825498).

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

445105333431462 is a wasteful number, since it uses less digits than its factorization.

445105333431462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15920506 (or 15920399 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 445105333431462 in words is "four hundred forty-five trillion, one hundred five billion, three hundred thirty-three million, four hundred thirty-one thousand, four hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 107 111 214 222 321 407 642 814 1177 1221 2354 2442 3531 3959 7062 7918 11449 11877 22898 23754 34347 43549 68694 87098 125939 130647 251878 261294 377817 423613 755634 847226 1270839 2541678 4659743 9319486 13979229 15920239 27958458 31840478 47760717 95521434 175122629 350245258 525367887 589048843 1050735774 1178097686 1703465573 1767146529 3406931146 3534293058 5110396719 6479537273 10220793438 12959074546 18738121303 19438611819 37476242606 38877223638 56214363909 63028226201 112428727818 126056452402 182270816311 189084678603 364541632622 378169357206 546812448933 693310488211 1093624897866 1386620976422 2004978979421 2079931464633 4009957958842 4159862929266 6014936938263 6744020203507 12029873876526 13488040407014 20232060610521 40464121221042 74184222238577 148368444477154 222552666715731 445105333431462