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3804516040446 = 2331125749101281
BaseRepresentation
bin110111010111001110110…
…100111011111011111110
3111110201010021010122022000
4313113032310323323332
5444313122101243241
612031434234203130
7541603311524562
oct67271664737376
914421107118260
103804516040446
111237539137500
125154108834a6
132179c22ab154
14d21d4d416a2
1568e6e241eb6
hex375ced3befe

3804516040446 has 96 divisors (see below), whose sum is σ = 9294649140000. Its totient is φ = 1152671731200.

The previous prime is 3804516040411. The next prime is 3804516040453. The reversal of 3804516040446 is 6440406154083.

3804516040446 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 5 + 160 + 40 + 446 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 37513326 + ... + 37614606.

It is an arithmetic number, because the mean of its divisors is an integer number (96819261875).

Almost surely, 23804516040446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3804516040446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647324570000).

3804516040446 is an abundant number, since it is smaller than the sum of its proper divisors (5490133099554).

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

3804516040446 is a wasteful number, since it uses less digits than its factorization.

3804516040446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107063 (or 107046 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3804516040446 in words is "three trillion, eight hundred four billion, five hundred sixteen million, forty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 5749 6534 11498 17247 34494 51741 63239 101281 103482 126478 155223 189717 202562 303843 310446 379434 569151 607686 695629 911529 1114091 1138302 1391258 1707453 1823058 2086887 2228182 2734587 3342273 3414906 4173774 5469174 6260661 6684546 10026819 12255001 12521322 18781983 20053638 24510002 30080457 36765003 37563966 60160914 73530006 110295009 220590018 330885027 582264469 661770054 1164528938 1746793407 3493586814 5240380221 6404909159 10480760442 12809818318 15721140663 19214727477 31442281326 38429454954 57644182431 70454000749 115288364862 140908001498 172932547293 211362002247 345865094586 422724004494 634086006741 1268172013482 1902258020223 3804516040446