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42004464606 = 23213297198609
BaseRepresentation
bin100111000111101010…
…010100001111011110
311000102100210220000100
4213013222110033132
51142011120331411
631144021241530
73014624025636
oct470752241736
9130370726010
1042004464606
11168a5474a65
1281832632a6
133c65430ab0
1420668a96c6
15115c97c456
hex9c7a943de

42004464606 has 96 divisors (see below), whose sum is σ = 101542896000. Its totient is φ = 12459976704.

The previous prime is 42004464589. The next prime is 42004464683. The reversal of 42004464606 is 60646440024.

It is a happy number.

42004464606 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 4 + 646 + 0 + 6 = 666.

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, 4874830 + ... + 4883438.

It is an arithmetic number, because the mean of its divisors is an integer number (1057738500).

Almost surely, 242004464606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004464606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50771448000).

42004464606 is an abundant number, since it is smaller than the sum of its proper divisors (59538431394).

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

42004464606 is a wasteful number, since it uses less digits than its factorization.

42004464606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42004464606 in words is "forty-two billion, four million, four hundred sixty-four thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 719 754 1131 1438 2157 2262 3393 4314 6471 6786 8609 9347 12942 17218 18694 20851 25827 28041 41702 51654 56082 62553 77481 84123 111917 125106 154962 168246 187659 223834 249661 271063 335751 375318 499322 542126 671502 748983 813189 1007253 1497966 1626378 2014506 2246949 2439567 3245593 4493898 4879134 6189871 6491186 9736779 12379742 18569613 19473558 29210337 37139226 55708839 58420674 80468323 111417678 160936646 179506259 241404969 359012518 482809938 538518777 724214907 1077037554 1448429814 1615556331 2333581367 3231112662 4667162734 7000744101 14001488202 21002232303 42004464606