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9893412040 = 235247335301
BaseRepresentation
bin10010011011011000…
…10111110011001000
3221112111012101221011
421031230113303020
5130230203141130
64313414053304
7500111420611
oct111554276310
927474171834
109893412040
114217633996
121b0134a234
13c188ab185
1469bd38c08
153cd85652a
hex24db17cc8

9893412040 has 16 divisors (see below), whose sum is σ = 22260177180. Its totient is φ = 3957364800.

The previous prime is 9893412019. The next prime is 9893412041. The reversal of 9893412040 is 402143989.

9893412040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9872012164 + 21399876 = 99358^2 + 4626^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 247335301 = 9893412040 / (9 + 8 + 9 + 3 + 4 + 1 + 2 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 9893411984 and 9893412002.

It is not an unprimeable number, because it can be changed into a prime (9893412041) 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 3 ways as a sum of consecutive naturals, for example, 123667611 + ... + 123667690.

Almost surely, 29893412040 is an apocalyptic number.

It is an amenable number.

9893412040 is an abundant number, since it is smaller than the sum of its proper divisors (12366765140).

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

9893412040 is a wasteful number, since it uses less digits than its factorization.

9893412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247335312 (or 247335308 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 9893412040 is about 99465.6324566430. The cubic root of 9893412040 is about 2146.7527717520.

The spelling of 9893412040 in words is "nine billion, eight hundred ninety-three million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 247335301 494670602 989341204 1236676505 1978682408 2473353010 4946706020 9893412040