Search a number
-
+
9926048912 = 24132310120543
BaseRepresentation
bin10010011111010001…
…10111110010010000
3221121202121112022012
421033220313302100
5130312032031122
64320541402052
7500656011053
oct111750676220
927552545265
109926048912
114233aa550a
121b10269328
13c22597430
146a23d2a9a
153d16517e2
hex24fa37c90

9926048912 has 80 divisors (see below), whose sum is σ = 21826603008. Its totient is φ = 4338470400.

The previous prime is 9926048911. The next prime is 9926048917. The reversal of 9926048912 is 2198406299.

It is a happy number.

9926048912 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 (9926048911) 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 15 ways as a sum of consecutive naturals, for example, 472913 + ... + 493455.

Almost surely, 29926048912 is an apocalyptic number.

9926048912 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 9926048912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913301504).

9926048912 is an abundant number, since it is smaller than the sum of its proper divisors (11900554096).

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

9926048912 is a wasteful number, since it uses less digits than its factorization.

9926048912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20688 (or 20682 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 9926048912 is about 99629.5584251983. The cubic root of 9926048912 is about 2149.1107851212.

The spelling of 9926048912 in words is "nine billion, nine hundred twenty-six million, forty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 101 104 184 202 208 299 368 404 598 808 1196 1313 1616 2323 2392 2626 4646 4784 5252 9292 10504 18584 20543 21008 30199 37168 41086 60398 82172 120796 164344 241592 267059 328688 472489 483184 534118 944978 1068236 1889956 2074843 2136472 3779912 4149686 4272944 6142357 7559824 8299372 12284714 16598744 24569428 26972959 33197488 47721389 49138856 53945918 95442778 98277712 107891836 190885556 215783672 381771112 431567344 620378057 763542224 1240756114 2481512228 4963024456 9926048912