Search a number
-
+
9926805612 = 2232327871987
BaseRepresentation
bin10010011111010111…
…10000100001101100
3221121211000222022010
421033223300201230
5130312230234422
64321005521220
7500665312143
oct111753604154
927554028263
109926805612
114234471a89
121b10573210
13c227a0999
146a254c75a
153d1750b0c
hex24faf086c

9926805612 has 72 divisors (see below), whose sum is σ = 24256367296. Its totient is φ = 3159455904.

The previous prime is 9926805611. The next prime is 9926805617. The reversal of 9926805612 is 2165086299.

9926805612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9926805611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4994883 + ... + 4996869.

Almost surely, 29926805612 is an apocalyptic number.

9926805612 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9926805612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128183648).

9926805612 is an abundant number, since it is smaller than the sum of its proper divisors (14329561684).

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

9926805612 is a wasteful number, since it uses less digits than its factorization.

9926805612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 9926805612 is about 99633.3559205952. The cubic root of 9926805612 is about 2149.1653953299.

The spelling of 9926805612 in words is "nine billion, nine hundred twenty-six million, eight hundred five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 787 1058 1574 1587 1987 2116 2361 3148 3174 3974 4722 5961 6348 7948 9444 11922 18101 23844 36202 45701 54303 72404 91402 108606 137103 182804 217212 274206 416323 548412 832646 1051123 1248969 1563769 1665292 2102246 2497938 3127538 3153369 4204492 4691307 4995876 6255076 6306738 9382614 12613476 18765228 35966687 71933374 107900061 143866748 215800122 431600244 827233801 1654467602 2481701403 3308935204 4963402806 9926805612