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18793941642 = 23273112913727
BaseRepresentation
bin10001100000001101…
…001100101010001010
31210111210010011012200
4101200031030222022
5301442222113032
612344523221030
71233505603530
oct214015145212
953453104180
1018793941642
117a74765583
123786077776
131a06871a38
14ca405a150
1574ee3547c
hex46034ca8a

18793941642 has 96 divisors (see below), whose sum is σ = 48088694784. Its totient is φ = 5191063200.

The previous prime is 18793941581. The next prime is 18793941667. The reversal of 18793941642 is 24614939781.

18793941642 is a `hidden beast` number, since 187 + 9 + 3 + 9 + 416 + 42 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5040783 + ... + 5044509.

It is an arithmetic number, because the mean of its divisors is an integer number (500923904).

Almost surely, 218793941642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18793941642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044347392).

18793941642 is an abundant number, since it is smaller than the sum of its proper divisors (29294753142).

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

18793941642 is a wasteful number, since it uses less digits than its factorization.

18793941642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5061 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 18793941642 in words is "eighteen billion, seven hundred ninety-three million, nine hundred forty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1291 1302 1953 2582 3727 3873 3906 7454 7746 9037 11181 11619 18074 22362 23238 26089 27111 33543 40021 52178 54222 67086 78267 80042 81333 115537 120063 156534 162666 231074 234801 240126 280147 346611 360189 469602 560294 693222 720378 808759 840441 1039833 1617518 1680882 2079666 2426277 2521323 4811557 4852554 5042646 7278831 9623114 14434671 14557662 28869342 33680899 43304013 67361798 86608026 101042697 149158267 202085394 298316534 303128091 447474801 606256182 894949602 1044107869 1342424403 2088215738 2684848806 3132323607 6264647214 9396970821 18793941642