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5717812000 = 255310114153
BaseRepresentation
bin1010101001100111…
…01110001100100000
3112202111001221111211
411110303232030200
543202224441000
62343212315504
7261456412555
oct52463561440
915674057454
105717812000
11247461286a
121136a72b94
13701796514
143c3554a2c
15236e967ba
hex154cee320

5717812000 has 96 divisors (see below), whose sum is σ = 14188762224. Its totient is φ = 2264320000.

The previous prime is 5717811997. The next prime is 5717812007. The reversal of 5717812000 is 2187175.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 921972496 + 4795839504 = 30364^2 + 69252^2 .

It is not an unprimeable number, because it can be changed into a prime (5717812007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396924 + ... + 411076.

Almost surely, 25717812000 is an apocalyptic number.

5717812000 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 5717812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094381112).

5717812000 is an abundant number, since it is smaller than the sum of its proper divisors (8470950224).

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

5717812000 is a wasteful number, since it uses less digits than its factorization.

5717812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 5717812000 is about 75616.2151922456. The cubic root of 5717812000 is about 1788.1747464868.

Adding to 5717812000 its reverse (2187175), we get a palindrome (5719999175).

The spelling of 5717812000 in words is "five billion, seven hundred seventeen million, eight hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 14153 16160 20200 25250 28306 40400 50500 56612 70765 80800 101000 113224 141530 202000 226448 283060 353825 404000 452896 566120 707650 1132240 1415300 1429453 1769125 2264480 2830600 2858906 3538250 5661200 5717812 7076500 7147265 11322400 11435624 14153000 14294530 22871248 28306000 28589060 35736325 45742496 56612000 57178120 71472650 114356240 142945300 178681625 228712480 285890600 357363250 571781200 714726500 1143562400 1429453000 2858906000 5717812000