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6400066446 = 23515187211
BaseRepresentation
bin1011111010111100…
…10100001110001110
3121112000212001200000
411331132110032032
5101101404111241
62535023345130
7314412444564
oct57536241616
917460761600
106400066446
112794741714
1212a74521a6
137acc31687
14449dcda34
15276d10eb6
hex17d79438e

6400066446 has 48 divisors (see below), whose sum is σ = 14475796608. Its totient is φ = 2119203000.

The previous prime is 6400066433. The next prime is 6400066471. The reversal of 6400066446 is 6446600046.

It is a happy number.

6400066446 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 0 + 6 + 644 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6400066446.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29781 + ... + 116991.

It is an arithmetic number, because the mean of its divisors is an integer number (301579096).

Almost surely, 26400066446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400066446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237898304).

6400066446 is an abundant number, since it is smaller than the sum of its proper divisors (8075730162).

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

6400066446 is a wasteful number, since it uses less digits than its factorization.

6400066446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87379 (or 87367 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6400066446 is about 80000.4152864221. The cubic root of 6400066446 is about 1856.6419587356.

The spelling of 6400066446 in words is "six billion, four hundred million, sixty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 906 1359 2718 4077 8154 12231 24462 36693 73386 87211 174422 261633 523266 784899 1569798 2354697 4709394 7064091 13168861 14128182 21192273 26337722 39506583 42384546 79013166 118519749 237039498 355559247 711118494 1066677741 2133355482 3200033223 6400066446