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5665700500 = 225317239209
BaseRepresentation
bin1010100011011001…
…11011101010010100
3112121212000101222021
411101230323222110
543100404404000
62334111342524
7260254442155
oct52154735224
915555011867
105665700500
11244815a709
121121521a44
136c3a4c005
143ba66b92c
1523260111a
hex151b3ba94

5665700500 has 72 divisors (see below), whose sum is σ = 13144917240. Its totient is φ = 2132915200.

The previous prime is 5665700441. The next prime is 5665700519. The reversal of 5665700500 is 50075665.

It can be written as a sum of positive squares in 12 ways, for example, as 905528464 + 4760172036 = 30092^2 + 68994^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124896 + ... + 164104.

It is an arithmetic number, because the mean of its divisors is an integer number (182568295).

Almost surely, 25665700500 is an apocalyptic number.

5665700500 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 5665700500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572458620).

5665700500 is an abundant number, since it is smaller than the sum of its proper divisors (7479216740).

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

5665700500 is a wasteful number, since it uses less digits than its factorization.

5665700500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39262 (or 39233 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 5665700500 is about 75270.8476104793. The cubic root of 5665700500 is about 1782.7257506483.

The spelling of 5665700500 in words is "five billion, six hundred sixty-five million, seven hundred thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 289 340 425 500 578 850 1156 1445 1700 2125 2890 4250 5780 7225 8500 14450 28900 36125 39209 72250 78418 144500 156836 196045 392090 666553 784180 980225 1333106 1960450 2666212 3332765 3920900 4901125 6665530 9802250 11331401 13331060 16663825 19604500 22662802 33327650 45325604 56657005 66655300 83319125 113314010 166638250 226628020 283285025 333276500 566570050 1133140100 1416425125 2832850250 5665700500