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9268731906 = 237331314389
BaseRepresentation
bin10001010000111010…
…11010000000000010
3212220221202100212220
420220131122000002
5122440243410111
64131421031510
7445454631000
oct105035320002
925827670786
109268731906
113a26a59515
1219680b5596
13b49350b65
1463cda9a70
15393ab0e06
hex22875a002

9268731906 has 64 divisors (see below), whose sum is σ = 21688608000. Its totient is φ = 2639564928.

The previous prime is 9268731893. The next prime is 9268731917. The reversal of 9268731906 is 6091378629.

It is a super-2 number, since 2×92687319062 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636960 + ... + 651348.

It is an arithmetic number, because the mean of its divisors is an integer number (338884500).

Almost surely, 29268731906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9268731906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844304000).

9268731906 is an abundant number, since it is smaller than the sum of its proper divisors (12419876094).

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

9268731906 is a wasteful number, since it uses less digits than its factorization.

9268731906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14714 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 9268731906 is about 96274.2535987686. The cubic root of 9268731906 is about 2100.5842596551.

The spelling of 9268731906 in words is "nine billion, two hundred sixty-eight million, seven hundred thirty-one thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 313 343 626 686 939 1029 1878 2058 2191 4382 6573 13146 14389 15337 28778 30674 43167 46011 86334 92022 100723 107359 201446 214718 302169 322077 604338 644154 705061 1410122 2115183 4230366 4503757 4935427 9007514 9870854 13511271 14806281 27022542 29612562 31526299 63052598 94578897 189157794 220684093 441368186 662052279 1324104558 1544788651 3089577302 4634365953 9268731906