Search a number
-
+
7290291602916 = 22387223812
BaseRepresentation
bin110101000010110011100…
…1111011100010111100100
3221210221111221211100000000
41222011213033130113210
51423421004122243131
623301040322021300
71351464136115100
oct152054717342744
927727457740000
107290291602916
112360882609183
12998aa7aa7830
1340b618cb777a
141b2bcdc40900
15c9985900ce6
hex6a1673dc5e4

7290291602916 has 243 divisors, whose sum is σ = 22269648210537. Its totient is φ = 2082065640480.

The previous prime is 7290291602899. The next prime is 7290291603037. The reversal of 7290291602916 is 6192061920927.

The square root of 7290291602916 is 2700054.

It is a perfect power (a square), and thus also a powerful number.

7290291602916 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 29 + 1 + 602 + 9 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6122436516 + 7284169166400 = 78246^2 + 2698920^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3061860046 + ... + 3061862426.

Almost surely, 27290291602916 is an apocalyptic number.

7290291602916 is the 2700054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7290291602916

7290291602916 is an abundant number, since it is smaller than the sum of its proper divisors (14979356607621).

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

7290291602916 is an frugal number, since it uses more digits than its factorization.

7290291602916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 7290291602916 in words is "seven trillion, two hundred ninety billion, two hundred ninety-one million, six hundred two thousand, nine hundred sixteen".