Search a number
-
+
9312681690 = 232513139173331
BaseRepresentation
bin10001010110001010…
…00011111011011010
3220001000110020122200
420223011003323122
5123033021303230
64140031031030
7446530326324
oct105305037332
926030406580
109312681690
113a49847654
12197a96b476
13b5549b450
14644b6a614
15397893160
hex22b143eda

9312681690 has 192 divisors, whose sum is σ = 26494715520. Its totient is φ = 2255869440.

The previous prime is 9312681689. The next prime is 9312681691. The reversal of 9312681690 is 961862139.

It is a happy number.

9312681690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9312681689) and next prime (9312681691).

It is a super-2 number, since 2×93126816902 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9312681691) 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 95 ways as a sum of consecutive naturals, for example, 28134825 + ... + 28135155.

It is an arithmetic number, because the mean of its divisors is an integer number (137993310).

Almost surely, 29312681690 is an apocalyptic number.

9312681690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9312681690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247357760).

9312681690 is an abundant number, since it is smaller than the sum of its proper divisors (17182033830).

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

9312681690 is a wasteful number, since it uses less digits than its factorization.

9312681690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9312681690 is about 96502.2367098297. The cubic root of 9312681690 is about 2103.8991571529.

The spelling of 9312681690 in words is "nine billion, three hundred twelve million, six hundred eighty-one thousand, six hundred ninety".