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138067748345 = 5269697714713
BaseRepresentation
bin1000000010010101111…
…0101010010111111001
3111012101011211022210002
42000211132222113321
54230230320421340
6143232155002345
712655306332362
oct2004536522771
9435334738702
10138067748345
115361070a94a
12229127393b5
1310034478617
14697ab6ab69
1538d1292715
hex20257aa5f9

138067748345 has 16 divisors (see below), whose sum is σ = 166332353040. Its totient is φ = 110020337664.

The previous prime is 138067748333. The next prime is 138067748347. The reversal of 138067748345 is 543847760831.

It is a happy number.

138067748345 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 18083794576 + 119983953769 = 134476^2 + 346387^2 .

It is a cyclic number.

It is not a de Polignac number, because 138067748345 - 236 = 69348271609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138067748347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9376709 + ... + 9391421.

It is an arithmetic number, because the mean of its divisors is an integer number (10395772065).

Almost surely, 2138067748345 is an apocalyptic number.

It is an amenable number.

138067748345 is a deficient number, since it is larger than the sum of its proper divisors (28264604695).

138067748345 is a wasteful number, since it uses less digits than its factorization.

138067748345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21964.

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 138067748345 in words is "one hundred thirty-eight billion, sixty-seven million, seven hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 5 269 1345 6977 14713 34885 73565 1876813 3957797 9384065 19788985 102652601 513263005 27613549669 138067748345