Search a number
137438691328 = 218524287
BaseRepresentation
bin111111111111111111…
…1000000000000000000
3111010202100010220210001
41333333333000000000
54222433301110303
6143045524045344
712633600413041
oct1777777000000
9433670126701
10137438691328
1153318616014
1222777b33854
13cc64048033
14691b3bc8c8
153895e3531d
hex1ffffc0000

137438691328 has 38 divisors (see below), whose sum is σ = 274877382656. Its totient is φ = 68719214592.

The previous prime is 137438691319. The next prime is 137438691329. The reversal of 137438691328 is 823196834731.

137438691328 is a nontrivial binomial coefficient, being equal to C(524288, 2).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438691329) 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 as a sum of consecutive naturals, namely, 1 + ... + 524287.

Almost surely, 2137438691328 is an apocalyptic number.

137438691328 is the 524287-th triangular number and also the 262144-th hexagonal number.

137438691328 is the 174763-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137438691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137438691328).

137438691328 is a perfect number, since it is equal to the sum of its proper divisors.

137438691328 is an frugal number, since it uses more digits than its factorization.

137438691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524323 (or 524289 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 137438691328 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, six hundred ninety-one thousand, three hundred twenty-eight".