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993249369 = 32715765863
BaseRepresentation
bin111011001100111…
…100100001011001
32120012222021222200
4323030330201121
54013232434434
6242320440413
733420323520
oct7314744131
92505867880
10993249369
1146a732a52
12238779109
1312aa15628
1495cb14b7
155c2eb199
hex3b33c859

993249369 has 12 divisors (see below), whose sum is σ = 1639649856. Its totient is φ = 567571032.

The previous prime is 993249343. The next prime is 993249379. The reversal of 993249369 is 963942399.

993249369 is a `hidden beast` number, since 9 + 93 + 2 + 493 + 69 = 666.

It is not a de Polignac number, because 993249369 - 25 = 993249337 is a prime.

It is a super-2 number, since 2×9932493692 = 1973088618037796322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (993249379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7882869 + ... + 7882994.

It is an arithmetic number, because the mean of its divisors is an integer number (136637488).

Almost surely, 2993249369 is an apocalyptic number.

It is an amenable number.

993249369 is a deficient number, since it is larger than the sum of its proper divisors (646400487).

993249369 is a wasteful number, since it uses less digits than its factorization.

993249369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15765876 (or 15765873 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The square root of 993249369 is about 31515.8590078075. The cubic root of 993249369 is about 997.7447071445.

The spelling of 993249369 in words is "nine hundred ninety-three million, two hundred forty-nine thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 63 15765863 47297589 110361041 141892767 331083123 993249369