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4715630640 = 2432572731831
BaseRepresentation
bin1000110010001001…
…01101000000110000
3110011122021212010200
410121010231000300
534124200140030
62055532155200
7224600125200
oct43104550060
913148255120
104715630640
111aaa93a106
12ab7308b00
135a1c744b6
1432a3da400
151c8ed3d60
hex11912d030

4715630640 has 360 divisors, whose sum is σ = 18684795168. Its totient is φ = 1062512640.

The previous prime is 4715630597. The next prime is 4715630657. The reversal of 4715630640 is 460365174.

It is a happy number.

4715630640 is a `hidden beast` number, since 4 + 7 + 1 + 5 + 6 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 4715630595 and 4715630604.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2574525 + ... + 2576355.

Almost surely, 24715630640 is an apocalyptic number.

4715630640 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 4715630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342397584).

4715630640 is an abundant number, since it is smaller than the sum of its proper divisors (13969164528).

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

4715630640 is a wasteful number, since it uses less digits than its factorization.

4715630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4715630640 is about 68670.4495398130. The cubic root of 4715630640 is about 1676.9235363982.

The spelling of 4715630640 in words is "four billion, seven hundred fifteen million, six hundred thirty thousand, six hundred forty".