Search a number
-
+
10676000832 = 263726716937
BaseRepresentation
bin10011111000101011…
…01101100001000000
31000120000210000221020
421330111231201000
5133331024011312
64523211425440
7525363336600
oct117425554100
930500700836
1010676000832
114589362492
12209b455280
131011a76073
14733c50c00
154273de78c
hex27c56d840

10676000832 has 168 divisors, whose sum is σ = 33351057504. Its totient is φ = 3004581888.

The previous prime is 10676000821. The next prime is 10676000837. The reversal of 10676000832 is 23800067601.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106760008322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10676000793 and 10676000802.

It is not an unprimeable number, because it can be changed into a prime (10676000837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621868 + ... + 638804.

Almost surely, 210676000832 is an apocalyptic number.

10676000832 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 10676000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16675528752).

10676000832 is an abundant number, since it is smaller than the sum of its proper divisors (22675056672).

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

10676000832 is a wasteful number, since it uses less digits than its factorization.

10676000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17033 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10676000832 in words is "ten billion, six hundred seventy-six million, eight hundred thirty-two", and thus it is an aban number.