Search a number
-
+
10499665392 = 24331719471601
BaseRepresentation
bin10011100011101010…
…00010110111110000
31000002201222021012000
421301311002313300
5133000403243032
64453512134000
7521122453236
oct116165026760
930081867160
1010499665392
1144a8873017
122050397300
13cb4386178
1471866c956
15416babe7c
hex271d42df0

10499665392 has 320 divisors, whose sum is σ = 34326374400. Its totient is φ = 3052339200.

The previous prime is 10499665387. The next prime is 10499665399. The reversal of 10499665392 is 29356699401.

10499665392 is a `hidden beast` number, since 1 + 0 + 49 + 9 + 66 + 539 + 2 = 666.

10499665392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104996653922 (a number of 21 digits) contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10499665399) 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 63 ways as a sum of consecutive naturals, for example, 6557392 + ... + 6558992.

It is an arithmetic number, because the mean of its divisors is an integer number (107269920).

Almost surely, 210499665392 is an apocalyptic number.

10499665392 is a gapful number since it is divisible by the number (12) 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 10499665392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163187200).

10499665392 is an abundant number, since it is smaller than the sum of its proper divisors (23826709008).

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

10499665392 is a wasteful number, since it uses less digits than its factorization.

10499665392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 10499665392 in words is "ten billion, four hundred ninety-nine million, six hundred sixty-five thousand, three hundred ninety-two".