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6485436216 = 23327177310369
BaseRepresentation
bin1100000101000111…
…11110011100111000
3121201222111021222100
412002203332130320
5101240232424331
62551313223400
7316500204210
oct60243763470
917658437870
106485436216
112828950246
12130bb61b60
137c4821c2c
14457493240
1527e575ae6
hex1828fe738

6485436216 has 192 divisors, whose sum is σ = 21548030400. Its totient is φ = 1719926784.

The previous prime is 6485436203. The next prime is 6485436239. The reversal of 6485436216 is 6126345846.

6485436216 is a `hidden beast` number, since 6 + 48 + 543 + 62 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620280 + ... + 630648.

It is an arithmetic number, because the mean of its divisors is an integer number (112229325).

Almost surely, 26485436216 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 6485436216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10774015200).

6485436216 is an abundant number, since it is smaller than the sum of its proper divisors (15062594184).

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

6485436216 is a wasteful number, since it uses less digits than its factorization.

6485436216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10478 (or 10471 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 6485436216 is about 80532.2060793072. The cubic root of 6485436216 is about 1864.8607031306.

The spelling of 6485436216 in words is "six billion, four hundred eighty-five million, four hundred thirty-six thousand, two hundred sixteen".