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4069336320 = 283657289
BaseRepresentation
bin1111001010001101…
…0010010100000000
3101111121011201000000
43302203102110000
531313222230240
61511444000000
7202561534200
oct36243222400
911447151000
104069336320
1117a9041675
12956990000
134cb0ba11a
142a8642400
1518c3be430
hexf28d2500

4069336320 has 756 divisors, whose sum is σ = 17191337940. Its totient is φ = 919683072.

The previous prime is 4069336319. The next prime is 4069336399. The reversal of 4069336320 is 236339604.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 2962842624 = 33264^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×40693363202 = 33118996170542284800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45722836 + ... + 45722924.

It is an arithmetic number, because the mean of its divisors is an integer number (22739865).

Almost surely, 24069336320 is an apocalyptic number.

4069336320 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 4069336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595668970).

4069336320 is an abundant number, since it is smaller than the sum of its proper divisors (13122001620).

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

4069336320 is an frugal number, since it uses more digits than its factorization.

4069336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 4069336320 is about 63791.3498838205. The cubic root of 4069336320 is about 1596.5206057863.

The spelling of 4069336320 in words is "four billion, sixty-nine million, three hundred thirty-six thousand, three hundred twenty".