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138408269785 = 5791133139907
BaseRepresentation
bin1000000011100111000…
…1101001011111011001
3111020020220120121101021
42000321301221133121
54231430004113120
6143330041322441
712666612611302
oct2007161513731
9436226517337
10138408269785
1153775950725
12229a8796421
1310089b933b6
1469b008b7a9
153901107aaa
hex2039c697d9

138408269785 has 32 divisors (see below), whose sum is σ = 170240048640. Its totient is φ = 108000442368.

The previous prime is 138408269777. The next prime is 138408269789. The reversal of 138408269785 is 587962804831.

138408269785 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138408269785 - 23 = 138408269777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138408269789) 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 31 ways as a sum of consecutive naturals, for example, 13965802 + ... + 13975708.

It is an arithmetic number, because the mean of its divisors is an integer number (5320001520).

It is a 1-persistent number, because it is pandigital, but 2⋅138408269785 = 276816539570 is not.

Almost surely, 2138408269785 is an apocalyptic number.

It is an amenable number.

138408269785 is a deficient number, since it is larger than the sum of its proper divisors (31831778855).

138408269785 is a wasteful number, since it uses less digits than its factorization.

138408269785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417.

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 138408269785 in words is "one hundred thirty-eight billion, four hundred eight million, two hundred sixty-nine thousand, seven hundred eighty-five".

Divisors: 1 5 79 113 313 395 565 1565 8927 9907 24727 35369 44635 49535 123635 176845 782653 1119491 2794151 3100891 3913265 5597455 13970755 15504455 88439789 244970389 350400683 442198945 1224851945 1752003415 27681653957 138408269785