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1338093009 = 321113619931
BaseRepresentation
bin100111111000001…
…1010110111010001
310110020212011112100
41033300122313101
510220022434014
6340435551013
745105413541
oct11760326721
93406764470
101338093009
116273560a0
1231415b469
131842b4816
14c99d9321
157c717009
hex4fc1add1

1338093009 has 24 divisors (see below), whose sum is σ = 2110271904. Its totient is φ = 810288000.

The previous prime is 1338092947. The next prime is 1338093013. The reversal of 1338093009 is 9003908331.

It is not a de Polignac number, because 1338093009 - 27 = 1338092881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1338093059) 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 23 ways as a sum of consecutive naturals, for example, 129774 + ... + 139704.

It is an arithmetic number, because the mean of its divisors is an integer number (87927996).

Almost surely, 21338093009 is an apocalyptic number.

It is an amenable number.

1338093009 is a deficient number, since it is larger than the sum of its proper divisors (772178895).

1338093009 is a wasteful number, since it uses less digits than its factorization.

1338093009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11309 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1338093009 is about 36579.9536495059. The cubic root of 1338093009 is about 1101.9505362058.

The spelling of 1338093009 in words is "one billion, three hundred thirty-eight million, ninety-three thousand, nine".

Divisors: 1 3 9 11 33 99 1361 4083 9931 12249 14971 29793 44913 89379 109241 134739 327723 983169 13516091 40548273 121644819 148677001 446031003 1338093009