Search a number
-
+
10556232192 = 2932111997113
BaseRepresentation
bin10011101010011001…
…10101001000000000
31000020200102011020200
421311030311020000
5133104343412232
64503252405200
7522410331102
oct116514651000
930220364220
1010556232192
114527799540
122067316800
13cc300054c
14721d95572
1541bb3277c
hex275335200

10556232192 has 480 divisors, whose sum is σ = 35658342720. Its totient is φ = 2972712960.

The previous prime is 10556232179. The next prime is 10556232199. The reversal of 10556232192 is 29123265501.

It is a happy number.

10556232192 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 623 + 21 + 9 + 2 = 666.

It is a super-2 number, since 2×105562321922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10556232199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93417928 + ... + 93418040.

It is an arithmetic number, because the mean of its divisors is an integer number (74288214).

Almost surely, 210556232192 is an apocalyptic number.

10556232192 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 10556232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829171360).

10556232192 is an abundant number, since it is smaller than the sum of its proper divisors (25102110528).

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

10556232192 is a wasteful number, since it uses less digits than its factorization.

10556232192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 10556232192 its reverse (29123265501), we get a palindrome (39679497693).

The spelling of 10556232192 in words is "ten billion, five hundred fifty-six million, two hundred thirty-two thousand, one hundred ninety-two".