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6316666440 = 2335722813823
BaseRepresentation
bin1011110001000000…
…01010111001001000
3121022012220220100220
411320200022321020
5100414031311230
62522444030040
7312350531100
oct57040127110
917265826326
106316666440
112751658a97
121283532320
13798880866
1443ccc0200
1526e839d10
hex17880ae48

6316666440 has 192 divisors, whose sum is σ = 22128111360. Its totient is φ = 1438295040.

The previous prime is 6316666403. The next prime is 6316666441. The reversal of 6316666440 is 446666136.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6316666392 and 6316666401.

It is not an unprimeable number, because it can be changed into a prime (6316666441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650369 + ... + 1654191.

It is an arithmetic number, because the mean of its divisors is an integer number (115250580).

Almost surely, 26316666440 is an apocalyptic number.

6316666440 is a gapful number since it is divisible by the number (60) 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 6316666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064055680).

6316666440 is an abundant number, since it is smaller than the sum of its proper divisors (15811444920).

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

6316666440 is a wasteful number, since it uses less digits than its factorization.

6316666440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 6316666440 is about 79477.4586911283. The cubic root of 6316666440 is about 1848.5419668442.

The spelling of 6316666440 in words is "six billion, three hundred sixteen million, six hundred sixty-six thousand, four hundred forty".