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5717717000 = 235337315329
BaseRepresentation
bin1010101001100110…
…10111000000001000
3112202110220010012022
411110303113000020
543202213421000
62343210304012
7261455535602
oct52463270010
915673803168
105717717000
112474558456
121136a28008
137017621c8
143c352c172
15236e78585
hex154cd7008

5717717000 has 64 divisors (see below), whose sum is σ = 13416202800. Its totient is φ = 2280806400.

The previous prime is 5717716997. The next prime is 5717717003. The reversal of 5717717000 is 7177175.

It is an interprime number because it is at equal distance from previous prime (5717716997) and next prime (5717717003).

It can be written as a sum of positive squares in 8 ways, for example, as 7496644 + 5710220356 = 2738^2 + 75566^2 .

It is not an unprimeable number, because it can be changed into a prime (5717717003) 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 15 ways as a sum of consecutive naturals, for example, 365336 + ... + 380664.

Almost surely, 25717717000 is an apocalyptic number.

5717717000 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 5717717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708101400).

5717717000 is an abundant number, since it is smaller than the sum of its proper divisors (7698485800).

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

5717717000 is a wasteful number, since it uses less digits than its factorization.

5717717000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15723 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 12005, while the sum is 35.

The square root of 5717717000 is about 75615.5870174926. The cubic root of 5717717000 is about 1788.1648430750.

The spelling of 5717717000 in words is "five billion, seven hundred seventeen million, seven hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 14920 15329 18650 30658 37300 46625 61316 74600 76645 93250 122632 153290 186500 306580 373000 383225 613160 766450 1532900 1916125 3065800 3832250 5717717 7664500 11435434 15329000 22870868 28588585 45741736 57177170 114354340 142942925 228708680 285885850 571771700 714714625 1143543400 1429429250 2858858500 5717717000