Search a number
-
+
266546896197696 = 263297270132
BaseRepresentation
bin111100100110110001001001…
…000100000101100001000000
31021221202122010111020111222100
4330212301021010011201000
5234414101020411311241
62342521541554310400
7110100243366044412
oct7446611104054100
91257678114214870
10266546896197696
1177a259a4049784
1225a8a6a8288400
13b59635902b01a
1449b6d1d7969b2
1520c376a8579b6
hexf26c49105840

266546896197696 has 189 divisors, whose sum is σ = 772076220151431. Its totient is φ = 87920458113024.

The previous prime is 266546896197667. The next prime is 266546896197707. The reversal of 266546896197696 is 696791698645662.

The square root of 266546896197696 is 16326264.

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

266546896197696 is a `hidden beast` number, since 2 + 6 + 65 + 468 + 9 + 6 + 19 + 76 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27258172716096 + 239288723481600 = 5220936^2 + 15468960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38007539086 + ... + 38007546098.

Almost surely, 2266546896197696 is an apocalyptic number.

266546896197696 is the 16326264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266546896197696

266546896197696 is an abundant number, since it is smaller than the sum of its proper divisors (505529323953735).

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

266546896197696 is an frugal number, since it uses more digits than its factorization.

266546896197696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 7115 counting only the distinct ones).

The product of its digits is 76187381760, while the sum is 90.

The spelling of 266546896197696 in words is "two hundred sixty-six trillion, five hundred forty-six billion, eight hundred ninety-six million, one hundred ninety-seven thousand, six hundred ninety-six".