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138351931249 = 7217166088753
BaseRepresentation
bin1000000011011001101…
…0101110111101110001
3111020002222120022102211
42000312122232331301
54231321043244444
6143320310012121
712665330004100
oct2006632567561
9436088508384
10138351931249
1153747070754
1222991947041
131007b2c8b9c
1469a67c4037
1538eb1c9c34
hex20366aef71

138351931249 has 12 divisors (see below), whose sum is σ = 170407061604. Its totient is φ = 111611641344.

The previous prime is 138351931231. The next prime is 138351931253. The reversal of 138351931249 is 942139153831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46061744400 + 92290186849 = 214620^2 + 303793^2 .

It is not a de Polignac number, because 138351931249 - 213 = 138351923057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138351931259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83043544 + ... + 83045209.

It is an arithmetic number, because the mean of its divisors is an integer number (14200588467).

Almost surely, 2138351931249 is an apocalyptic number.

It is an amenable number.

138351931249 is a deficient number, since it is larger than the sum of its proper divisors (32055130355).

138351931249 is a wasteful number, since it uses less digits than its factorization.

138351931249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166088784 (or 166088777 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The spelling of 138351931249 in words is "one hundred thirty-eight billion, three hundred fifty-one million, nine hundred thirty-one thousand, two hundred forty-nine".

Divisors: 1 7 17 49 119 833 166088753 1162621271 2823508801 8138348897 19764561607 138351931249