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5645700000 = 2534551741
BaseRepresentation
bin1010100001000001…
…01000101110100000
3112120110101021110000
411100200220232200
543030244400000
62332114540000
7256622441523
oct52040505640
915513337400
105645700000
112437939a76
121116897600
136bc8685b5
143b7b42bba
152309a0000
hex150828ba0

5645700000 has 720 divisors, whose sum is σ = 22510231128. Its totient is φ = 1382400000.

The previous prime is 5645699987. The next prime is 5645700001. The reversal of 5645700000 is 75465.

It can be written as a sum of positive squares in 12 ways, for example, as 3363536016 + 2282163984 = 57996^2 + 47772^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5645700001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 137699980 + ... + 137700020.

Almost surely, 25645700000 is an apocalyptic number.

5645700000 is a gapful number since it is divisible by the number (50) 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 5645700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255115564).

5645700000 is an abundant number, since it is smaller than the sum of its proper divisors (16864531128).

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

5645700000 is an equidigital number, since it uses as much as digits as its factorization.

5645700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5645700000 is about 75137.8732730705. The cubic root of 5645700000 is about 1780.6255428810.

Adding to 5645700000 its reverse (75465), we get a palindrome (5645775465).

The spelling of 5645700000 in words is "five billion, six hundred forty-five million, seven hundred thousand".