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993064010 = 251737315661
BaseRepresentation
bin111011001100001…
…111010001001010
32120012121212201112
4323030033101022
54013211022020
6242312450322
733415622231
oct7314172112
92505555645
10993064010
1146a616764
122386a99a2
1312a97c153
1495c63b18
155c2b12c5
hex3b30f44a

993064010 has 32 divisors (see below), whose sum is σ = 1897858512. Its totient is φ = 372833280.

The previous prime is 993063977. The next prime is 993064019. The reversal of 993064010 is 10460399.

993064010 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 8 ways, for example, as 881317969 + 111746041 = 29687^2 + 10571^2 .

It is a super-2 number, since 2×9930640102 = 1972352255914560200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (993064019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55580 + ... + 71240.

Almost surely, 2993064010 is an apocalyptic number.

993064010 is a deficient number, since it is larger than the sum of its proper divisors (904794502).

993064010 is a wasteful number, since it uses less digits than its factorization.

993064010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16058.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 993064010 is about 31512.9181447863. The cubic root of 993064010 is about 997.6826373117.

The spelling of 993064010 in words is "nine hundred ninety-three million, sixty-four thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 373 746 1865 3730 6341 12682 15661 31322 31705 63410 78305 156610 266237 532474 1331185 2662370 5841553 11683106 29207765 58415530 99306401 198612802 496532005 993064010