Search a number
-
+
325683748656 = 2432717314091499
BaseRepresentation
bin1001011110101000100…
…00111001111100110000
31011010122110102122101100
410233110100321330300
520314000014424111
6405341141004400
732346514121130
oct4572420717460
91133573378340
10325683748656
11116137a92862
12531529b3700
1324933c04416
1411a98232ac0
1587123e3756
hex4bd4439f30

325683748656 has 480 divisors, whose sum is σ = 1142069760000. Its totient is φ = 84490076160.

The previous prime is 325683748631. The next prime is 325683748669. The reversal of 325683748656 is 656847386523.

325683748656 is a `hidden beast` number, since 3 + 2 + 568 + 3 + 7 + 4 + 8 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 325683748593 and 325683748602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217266595 + ... + 217268093.

It is an arithmetic number, because the mean of its divisors is an integer number (2379312000).

Almost surely, 2325683748656 is an apocalyptic number.

325683748656 is a gapful number since it is divisible by the number (36) 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 325683748656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571034880000).

325683748656 is an abundant number, since it is smaller than the sum of its proper divisors (816386011344).

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

325683748656 is a wasteful number, since it uses less digits than its factorization.

325683748656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1968 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 325683748656 in words is "three hundred twenty-five billion, six hundred eighty-three million, seven hundred forty-eight thousand, six hundred fifty-six".