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10327086630 = 2335726771153
BaseRepresentation
bin10011001111000101…
…01101011000100110
3222122201020100122000
421213202231120212
5132122213233010
64424425150130
7513625534200
oct114742553046
928581210560
1010327086630
11441a40a043
12200262b346
13c876b0163
146dd787770
1540696c7c0
hex2678ad626

10327086630 has 192 divisors, whose sum is σ = 32110188480. Its totient is φ = 2354946048.

The previous prime is 10327086629. The next prime is 10327086643. The reversal of 10327086630 is 3668072301.

It is a happy number.

10327086630 is a `hidden beast` number, since 10 + 3 + 2 + 7 + 0 + 8 + 6 + 630 = 666.

10327086630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 8956134 + ... + 8957286.

It is an arithmetic number, because the mean of its divisors is an integer number (167240565).

Almost surely, 210327086630 is an apocalyptic number.

10327086630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10327086630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055094240).

10327086630 is an abundant number, since it is smaller than the sum of its proper divisors (21783101850).

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

10327086630 is a wasteful number, since it uses less digits than its factorization.

10327086630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10327086630 in words is "ten billion, three hundred twenty-seven million, eighty-six thousand, six hundred thirty".