Search a number
-
+
5330648340 = 2233529734663
BaseRepresentation
bin1001111011011101…
…10011110100010100
3111202111112222211000
410331232303310110
541404121221330
62240542143300
7246045522543
oct47556636424
914674488730
105330648340
112296014aa6
121049281b30
1366c4ca7b4
14387d7215a
15212ebb560
hex13dbb3d14

5330648340 has 192 divisors, whose sum is σ = 17394854400. Its totient is φ = 1353397248.

The previous prime is 5330648339. The next prime is 5330648347. The reversal of 5330648340 is 438460335.

5330648340 is a `hidden beast` number, since 5 + 3 + 3 + 0 + 648 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5330648295 and 5330648304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330648347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1140849 + ... + 1145511.

It is an arithmetic number, because the mean of its divisors is an integer number (90598200).

Almost surely, 25330648340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5330648340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697427200).

5330648340 is an abundant number, since it is smaller than the sum of its proper divisors (12064206060).

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

5330648340 is a wasteful number, since it uses less digits than its factorization.

5330648340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5330648340 is about 73011.2891270932. The cubic root of 5330648340 is about 1746.8676855417.

The spelling of 5330648340 in words is "five billion, three hundred thirty million, six hundred forty-eight thousand, three hundred forty".