Search a number
-
+
46495815238656 = 21032727321392
BaseRepresentation
bin10101001001001101001101…
…00011010000010000000000
320002121221211022022101002100
422210212212203100100000
522043241412200114111
6242515514352350400
712536132434412100
oct1244464643202000
9202557738271070
1046495815238656
11138a6845616873
12526b24a545400
131cc36c8aa3784
14b6a5a3801200
155596e2218756
hex2a49a68d0400

46495815238656 has 891 divisors, whose sum is σ = 159490996244541. Its totient is φ = 13008276062208.

The previous prime is 46495815238637. The next prime is 46495815238679. The reversal of 46495815238656 is 65683251859464.

The square root of 46495815238656 is 6818784.

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

46495815238656 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 581 + 5 + 2 + 38 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26393289753600 + 20102525485056 = 5137440^2 + 4483584^2 .

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

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, 334502267835 + ... + 334502267973.

Almost surely, 246495815238656 is an apocalyptic number.

46495815238656 is the 6818784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46495815238656

46495815238656 is an abundant number, since it is smaller than the sum of its proper divisors (112995181005885).

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

46495815238656 is an equidigital number, since it uses as much as digits as its factorization.

46495815238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 224 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 46495815238656 in words is "forty-six trillion, four hundred ninety-five billion, eight hundred fifteen million, two hundred thirty-eight thousand, six hundred fifty-six".