Search a number
-
+
266107075392 = 26317229612711
BaseRepresentation
bin1111011111010100110…
…1111011101101000000
3221102212110102001202010
43313311031323231000
513324441402403032
6322125314052520
725140244551144
oct3676515735500
9842773361663
10266107075392
11a2945563404
12436a687a140
131c12b095232
14cc45a97224
156dc6e10ccc
hex3df537bb40

266107075392 has 336 divisors, whose sum is σ = 786691969920. Its totient is φ = 79255142400.

The previous prime is 266107075373. The next prime is 266107075397. The reversal of 266107075392 is 293570701662.

266107075392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266107075397) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 98156917 + ... + 98159627.

Almost surely, 2266107075392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266107075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393345984960).

266107075392 is an abundant number, since it is smaller than the sum of its proper divisors (520584894528).

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

266107075392 is a wasteful number, since it uses less digits than its factorization.

266107075392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 266107075392 in words is "two hundred sixty-six billion, one hundred seven million, seventy-five thousand, three hundred ninety-two".