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138280335696 = 24321021940529
BaseRepresentation
bin1000000011001000100…
…1100111100101010000
3111012220222211212210200
42000302021213211100
54231144231220241
6143305231255200
712663500313516
oct2006211474520
9435828755720
10138280335696
115370a70a978
122297197a500
131006951c059
14699b0a84b6
1538e4c864b6
hex2032267950

138280335696 has 60 divisors (see below), whose sum is σ = 387372328980. Its totient is φ = 46048250880.

The previous prime is 138280335679. The next prime is 138280335751. The reversal of 138280335696 is 696533082831.

It is a happy number.

138280335696 is a `hidden beast` number, since 1 + 3 + 8 + 280 + 3 + 356 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101314890000 + 36965445696 = 318300^2 + 192264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323241 + ... + 617288.

It is an arithmetic number, because the mean of its divisors is an integer number (6456205483).

Almost surely, 2138280335696 is an apocalyptic number.

138280335696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138280335696 is an abundant number, since it is smaller than the sum of its proper divisors (249091993284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138280335696 is a wasteful number, since it uses less digits than its factorization.

138280335696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941564 (or 941555 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 138280335696 in words is "one hundred thirty-eight billion, two hundred eighty million, three hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1021 2042 3063 4084 6126 8168 9189 12252 16336 18378 24504 36756 49008 73512 147024 940529 1881058 2821587 3762116 5643174 7524232 8464761 11286348 15048464 16929522 22572696 33859044 45145392 67718088 135436176 960280109 1920560218 2880840327 3841120436 5761680654 7682240872 8642520981 11523361308 15364481744 17285041962 23046722616 34570083924 46093445232 69140167848 138280335696