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6674236416 = 21032232372
BaseRepresentation
bin1100011011101000…
…01100010000000000
3122020010202100011100
412031310030100000
5102132101031131
63022140014400
7324252034131
oct61564142000
918203670140
106674236416
112915483671
121363231400
13824987523
1447459bc88
15290e1b7e6
hex18dd0c400

6674236416 has 297 divisors, whose sum is σ = 20705247381. Its totient is φ = 2070503424.

The previous prime is 6674236403. The next prime is 6674236433. The reversal of 6674236416 is 6146324766.

It is a happy number.

The square root of 6674236416 is 81696.

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

It can be written as a sum of positive squares in only one way, i.e., 5972198400 + 702038016 = 77280^2 + 26496^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 180384750 + ... + 180384786.

Almost surely, 26674236416 is an apocalyptic number.

6674236416 is the 81696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6674236416

6674236416 is an abundant number, since it is smaller than the sum of its proper divisors (14031010965).

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

6674236416 is a wasteful number, since it uses less digits than its factorization.

6674236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 65 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The cubic root of 6674236416 is about 1882.7841290052.

The spelling of 6674236416 in words is "six billion, six hundred seventy-four million, two hundred thirty-six thousand, four hundred sixteen".