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1138213767 = 31726384859
BaseRepresentation
bin100001111010111…
…1100001110000111
32221022202020202110
41003311330032013
54312340320032
6304535512103
740130441325
oct10365741607
92838666673
101138213767
11534545939
12279228633
13151a70492
14ab248d15
1569dd37cc
hex43d7c387

1138213767 has 16 divisors (see below), whose sum is σ = 1613018880. Its totient is φ = 711449472.

The previous prime is 1138213759. The next prime is 1138213771. The reversal of 1138213767 is 7673128311.

It is not a de Polignac number, because 1138213767 - 23 = 1138213759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138213367) 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 15 ways as a sum of consecutive naturals, for example, 29017 + ... + 55842.

It is an arithmetic number, because the mean of its divisors is an integer number (100813680).

Almost surely, 21138213767 is an apocalyptic number.

1138213767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1138213767 is a deficient number, since it is larger than the sum of its proper divisors (474805113).

1138213767 is a wasteful number, since it uses less digits than its factorization.

1138213767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85142.

The product of its digits is 42336, while the sum is 39.

The square root of 1138213767 is about 33737.4238346676. The cubic root of 1138213767 is about 1044.0980341654.

The spelling of 1138213767 in words is "one billion, one hundred thirty-eight million, two hundred thirteen thousand, seven hundred sixty-seven".

Divisors: 1 3 17 51 263 789 4471 13413 84859 254577 1442603 4327809 22317917 66953751 379404589 1138213767