Search a number
-
+
66785225472 = 28327313139
BaseRepresentation
bin111110001100101101…
…011010101100000000
320101101101011222021100
4332030231122230000
52043234004203342
650403011054400
74553000023110
oct761455325400
9211341158240
1066785225472
1126361578419
1210b3a2a1400
1363b4404cc4
143337aa3040
151b0d294e4c
hexf8cb5ab00

66785225472 has 432 divisors, whose sum is σ = 229037885440. Its totient is φ = 18333112320.

The previous prime is 66785225467. The next prime is 66785225489. The reversal of 66785225472 is 27452258766.

66785225472 is a `hidden beast` number, since 6 + 6 + 78 + 5 + 22 + 547 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 480469179 + ... + 480469317.

Almost surely, 266785225472 is an apocalyptic number.

66785225472 is a gapful number since it is divisible by the number (62) 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 66785225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114518942720).

66785225472 is an abundant number, since it is smaller than the sum of its proper divisors (162252659968).

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

66785225472 is an equidigital number, since it uses as much as digits as its factorization.

66785225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 182 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 66785225472 in words is "sixty-six billion, seven hundred eighty-five million, two hundred twenty-five thousand, four hundred seventy-two".