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993108956 = 22735468177
BaseRepresentation
bin111011001100011…
…010001111011100
32120012201011101012
4323030122033130
54013213441311
6242313434352
733416200250
oct7314321734
92505634335
10993108956
1146a647504
1223870b9b8
1312a996748
1495c76260
155c2be78b
hex3b31a3dc

993108956 has 12 divisors (see below), whose sum is σ = 1986217968. Its totient is φ = 425618112.

The previous prime is 993108947. The next prime is 993109001. The reversal of 993108956 is 659801399.

993108956 is an admirable number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 17734061 + ... + 17734116.

It is an arithmetic number, because the mean of its divisors is an integer number (165518164).

Almost surely, 2993108956 is an apocalyptic number.

It is an amenable number.

993108956 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

993108956 is a wasteful number, since it uses less digits than its factorization.

993108956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35468188 (or 35468186 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 50.

The square root of 993108956 is about 31513.6312728318. The cubic root of 993108956 is about 997.6976887642.

The spelling of 993108956 in words is "nine hundred ninety-three million, one hundred eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 35468177 70936354 141872708 248277239 496554478 993108956