Search a number
-
+
266909386273920 = 27345131729839679
BaseRepresentation
bin111100101100000010101111…
…001001111111010010000000
31022000001021210001021022220000
4330230002233021333102000
5234441020410341231140
62343400251310520000
7110135365260622155
oct7454025711772200
91260037701238800
10266909386273920
11780556a9269175
1225b289b1506000
13b5c15a74502a0
1449ca6a9d7822c
1520ccdd4184a30
hexf2c0af27f480

266909386273920 has 2560 divisors, whose sum is σ = 1138028766336000. Its totient is φ = 58978327855104.

The previous prime is 266909386273879. The next prime is 266909386273921. The reversal of 266909386273920 is 29372683909662.

266909386273920 is a `hidden beast` number, since 2 + 6 + 6 + 90 + 9 + 386 + 2 + 73 + 92 + 0 = 666.

It is a super-2 number, since 2×2669093862739202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (266909386273921) 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 319 ways as a sum of consecutive naturals, for example, 27576127641 + ... + 27576137319.

It is an arithmetic number, because the mean of its divisors is an integer number (444542486850).

Almost surely, 2266909386273920 is an apocalyptic number.

266909386273920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266909386273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569014383168000).

266909386273920 is an abundant number, since it is smaller than the sum of its proper divisors (871119380062080).

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

266909386273920 is a wasteful number, since it uses less digits than its factorization.

266909386273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 266909386273920 in words is "two hundred sixty-six trillion, nine hundred nine billion, three hundred eighty-six million, two hundred seventy-three thousand, nine hundred twenty".