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4106530064 = 24721317137173
BaseRepresentation
bin1111010011000100…
…1010110100010000
3101121012011100020002
43310301022310100
531402232430224
61515253105132
7203522633600
oct36461126420
911535140202
104106530064
1118180358aa
129673281a8
13505a10560
142ad564c00
151907b99ae
hexf4c4ad10

4106530064 has 240 divisors, whose sum is σ = 10692159408. Its totient is φ = 1509064704.

The previous prime is 4106530061. The next prime is 4106530067. The reversal of 4106530064 is 4600356014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4106530061) and next prime (4106530067).

It can be written as a sum of positive squares in 8 ways, for example, as 225240064 + 3881290000 = 15008^2 + 62300^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106530061) 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, 23737082 + ... + 23737254.

Almost surely, 24106530064 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 4106530064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346079704).

4106530064 is an abundant number, since it is smaller than the sum of its proper divisors (6585629344).

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

4106530064 is a wasteful number, since it uses less digits than its factorization.

4106530064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 4106530064 is about 64082.2133200781. The cubic root of 4106530064 is about 1601.3699288080.

Adding to 4106530064 its reverse (4600356014), we get a palindrome (8706886078).

The spelling of 4106530064 in words is "four billion, one hundred six million, five hundred thirty thousand, sixty-four".