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4682005664 = 25722985973
BaseRepresentation
bin1000101110001000…
…11011110010100000
3110002022000112100012
410113010123302200
534042043140124
62052331344052
7224011251200
oct42704336240
913068015305
104682005664
111a92963176
12aa7bb2028
1359800056b
14325b66400
151c6090e0e
hex11711bca0

4682005664 has 36 divisors (see below), whose sum is σ = 10722632634. Its totient is φ = 2006573184.

The previous prime is 4682005663. The next prime is 4682005687. The reversal of 4682005664 is 4665002864.

It can be written as a sum of positive squares in only one way, i.e., 3573648400 + 1108357264 = 59780^2 + 33292^2 .

It is not an unprimeable number, because it can be changed into a prime (4682005663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1491419 + ... + 1494554.

Almost surely, 24682005664 is an apocalyptic number.

It is an amenable number.

4682005664 is an abundant number, since it is smaller than the sum of its proper divisors (6040626970).

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

4682005664 is a wasteful number, since it uses less digits than its factorization.

4682005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985997 (or 2985982 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 4682005664 is about 68425.1829665073. The cubic root of 4682005664 is about 1672.9282369736.

The spelling of 4682005664 in words is "four billion, six hundred eighty-two million, five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2985973 5971946 11943892 20901811 23887784 41803622 47775568 83607244 95551136 146312677 167214488 292625354 334428976 585250708 668857952 1170501416 2341002832 4682005664