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9378649242 = 23219298311393
BaseRepresentation
bin10001011110000001…
…01101010010011010
3220012121120202010100
420233000231102122
5123201413233432
64150345000230
7451261126464
oct105700552232
926177522110
109378649242
113a83003a96
121998a83076
13b660576c1
1464d81d134
1539d57407c
hex22f02d49a

9378649242 has 96 divisors (see below), whose sum is σ = 22396046400. Its totient is φ = 2824851456.

The previous prime is 9378649193. The next prime is 9378649249. The reversal of 9378649242 is 2429468739.

9378649242 is a `hidden beast` number, since 9 + 37 + 86 + 492 + 42 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9378649249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817498 + ... + 828890.

It is an arithmetic number, because the mean of its divisors is an integer number (233292150).

Almost surely, 29378649242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9378649242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11198023200).

9378649242 is an abundant number, since it is smaller than the sum of its proper divisors (13017397158).

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

9378649242 is a wasteful number, since it uses less digits than its factorization.

9378649242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11529 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 9378649242 is about 96843.4264263713. The cubic root of 9378649242 is about 2108.8552179774.

The spelling of 9378649242 in words is "nine billion, three hundred seventy-eight million, six hundred forty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 83 87 114 166 171 174 249 261 342 498 522 551 747 1102 1494 1577 1653 2407 3154 3306 4731 4814 4959 7221 9462 9918 11393 14193 14442 21663 22786 28386 34179 43326 45733 68358 91466 102537 137199 205074 216467 274398 330397 411597 432934 649401 660794 823194 945619 991191 1298802 1891238 1948203 1982382 2836857 2973573 3896406 5673714 5947146 6277543 8510571 12555086 17021142 17966761 18832629 27422951 35933522 37665258 53900283 54845902 56497887 82268853 107800566 112995774 161700849 164537706 246806559 323401698 493613118 521036069 1042072138 1563108207 3126216414 4689324621 9378649242