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6686118432 = 253472997131
BaseRepresentation
bin1100011101000011…
…00001001000100000
3122020222010000020000
412032201201020200
5102143121242212
63023242420000
7324455032440
oct61641411040
918228100200
106686118432
112921159814
121367201600
138272878c6
14475db2120
15291eb71dc
hex18e861220

6686118432 has 480 divisors, whose sum is σ = 23666670720. Its totient is φ = 1811496960.

The previous prime is 6686118431. The next prime is 6686118437. The reversal of 6686118432 is 2348116866.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6686118431) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 51039007 + ... + 51039137.

It is an arithmetic number, because the mean of its divisors is an integer number (49305564).

Almost surely, 26686118432 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 6686118432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833335360).

6686118432 is an abundant number, since it is smaller than the sum of its proper divisors (16980552288).

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

6686118432 is a wasteful number, since it uses less digits than its factorization.

6686118432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6686118432 is about 81768.6885794312. The cubic root of 6686118432 is about 1883.9007615382.

The spelling of 6686118432 in words is "six billion, six hundred eighty-six million, one hundred eighteen thousand, four hundred thirty-two".