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4064742360 = 2332574734319
BaseRepresentation
bin1111001001000111…
…0000101111011000
3101111021112022021100
43302101300233120
531311033223420
61511201311400
7202504511550
oct36221605730
911437468240
104064742360
1117a6494108
12955335560
134ca16c0c3
142a7ba8160
1518bcb3190
hexf2470bd8

4064742360 has 192 divisors, whose sum is σ = 15419289600. Its totient is φ = 909289728.

The previous prime is 4064742349. The next prime is 4064742361. The reversal of 4064742360 is 632474604.

4064742360 is a `hidden beast` number, since 4 + 0 + 647 + 4 + 2 + 3 + 6 + 0 = 666.

4064742360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064742361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101281 + ... + 135599.

It is an arithmetic number, because the mean of its divisors is an integer number (80308800).

Almost surely, 24064742360 is an apocalyptic number.

4064742360 is a gapful number since it is divisible by the number (40) 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 4064742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709644800).

4064742360 is an abundant number, since it is smaller than the sum of its proper divisors (11354547240).

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

4064742360 is a wasteful number, since it uses less digits than its factorization.

4064742360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34390 (or 34383 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4064742360 is about 63755.3320123109. The cubic root of 4064742360 is about 1595.9195975853.

The spelling of 4064742360 in words is "four billion, sixty-four million, seven hundred forty-two thousand, three hundred sixty".