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2564863300 = 225225648633
BaseRepresentation
bin1001100011100000…
…1011010101000100
320121202020120000001
42120320023111010
520223101111200
61102301531044
7120362656366
oct23070132504
96552216001
102564863300
1110a688683a
125b6b73a84
1331b4bcbbc
141a48d6d36
1510028e76a
hex98e0b544

2564863300 has 18 divisors (see below), whose sum is σ = 5565753578. Its totient is φ = 1025945280.

The previous prime is 2564863283. The next prime is 2564863307. The reversal of 2564863300 is 33684652.

It can be written as a sum of positive squares in 3 ways, for example, as 1871424 + 2562991876 = 1368^2 + 50626^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2564863300.

It is not an unprimeable number, because it can be changed into a prime (2564863307) 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 5 ways as a sum of consecutive naturals, for example, 12824217 + ... + 12824416.

Almost surely, 22564863300 is an apocalyptic number.

2564863300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564863300 is an abundant number, since it is smaller than the sum of its proper divisors (3000890278).

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

2564863300 is a wasteful number, since it uses less digits than its factorization.

2564863300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648647 (or 25648640 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2564863300 is about 50644.4794622277. The cubic root of 2564863300 is about 1368.8464724925.

The spelling of 2564863300 in words is "two billion, five hundred sixty-four million, eight hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 25648633 51297266 102594532 128243165 256486330 512972660 641215825 1282431650 2564863300