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200060769872656 = 247211219224172
BaseRepresentation
bin101101011111010001000111…
…000111110010101100010000
3222020100121211000212110001201
4231133101013013302230100
5202210243424041411111
61545254352054440544
760065625243600100
oct5537210707625420
9866317730773051
10200060769872656
1158822329024100
121a53114b063154
13878285a381004
143758dc883d200
15181e08e1b76c1
hexb5f4471f2b10

200060769872656 has 405 divisors, whose sum is σ = 523294520735637. Its totient is φ = 73812794711040.

The previous prime is 200060769872611. The next prime is 200060769872687. The reversal of 200060769872656 is 656278967060002.

The square root of 200060769872656 is 14144284.

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

200060769872656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 194798407280400 + 5262362592256 = 13957020^2 + 2293984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82772348760 + ... + 82772351176.

Almost surely, 2200060769872656 is an apocalyptic number.

200060769872656 is the 14144284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200060769872656

200060769872656 is an abundant number, since it is smaller than the sum of its proper divisors (323233750862981).

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

200060769872656 is an equidigital number, since it uses as much as digits as its factorization.

200060769872656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 64.

The spelling of 200060769872656 in words is "two hundred trillion, sixty billion, seven hundred sixty-nine million, eight hundred seventy-two thousand, six hundred fifty-six".