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4645555464 = 2331117596801
BaseRepresentation
bin1000101001110010…
…11000110100001000
3102222202102200001210
410110321120310020
534003230233324
62044550213120
7223056366324
oct42471306410
912882380053
104645555464
111a74327640
12a979541a0
135905aa6b4
14320d98984
151c2c90d29
hex114e58d08

4645555464 has 32 divisors (see below), whose sum is σ = 12669697440. Its totient is φ = 1407744000.

The previous prime is 4645555463. The next prime is 4645555513.

It is a happy number.

4645555464 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4645555463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8798137 + ... + 8798664.

It is an arithmetic number, because the mean of its divisors is an integer number (395928045).

Almost surely, 24645555464 is an apocalyptic number.

4645555464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4645555464 is an abundant number, since it is smaller than the sum of its proper divisors (8024141976).

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

4645555464 is a wasteful number, since it uses less digits than its factorization.

4645555464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17596821 (or 17596817 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The square root of 4645555464 is about 68158.3117748672. The cubic root of 4645555464 is about 1668.5755795873.

The spelling of 4645555464 in words is "four billion, six hundred forty-five million, five hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 17596801 35193602 52790403 70387204 105580806 140774408 193564811 211161612 387129622 422323224 580694433 774259244 1161388866 1548518488 2322777732 4645555464