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138208325645 = 51310009212437
BaseRepresentation
bin1000000010110111011…
…0111011000000001101
3111012201222100101120202
42000231312323000031
54231022312410040
6143254140023245
712661634245625
oct2005566730015
9435658311522
10138208325645
1153682aa6735
1222951831b25
1310057628660
1469916c1885
1538dd7b0015
hex202ddbb00d

138208325645 has 16 divisors (see below), whose sum is σ = 178626367920. Its totient is φ = 102050855424.

The previous prime is 138208325623. The next prime is 138208325663. The reversal of 138208325645 is 546523802831.

It can be written as a sum of positive squares in 8 ways, for example, as 5145336361 + 133062989284 = 71731^2 + 364778^2 .

It is a cyclic number.

It is not a de Polignac number, because 138208325645 - 218 = 138208063501 is a prime.

It is a super-3 number, since 3×1382083256453 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138208325645.

It is a congruent number.

It is an unprimeable number.

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, 544367 + ... + 756803.

It is an arithmetic number, because the mean of its divisors is an integer number (11164147995).

Almost surely, 2138208325645 is an apocalyptic number.

It is an amenable number.

138208325645 is a deficient number, since it is larger than the sum of its proper divisors (40418042275).

138208325645 is a wasteful number, since it uses less digits than its factorization.

138208325645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222464.

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 138208325645 in words is "one hundred thirty-eight billion, two hundred eight million, three hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 5 13 65 10009 50045 130117 212437 650585 1062185 2761681 13808405 2126281933 10631409665 27641665129 138208325645