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5689663800 = 2335273129901
BaseRepresentation
bin1010100110010000…
…10110000100111000
3112200112002212102220
411103020112010320
543123023220200
62340325124040
7260665226052
oct52310260470
915615085386
105689663800
11245a737697
121129559620
136c89bc392
143bd9088d2
152347864a0
hex153216138

5689663800 has 96 divisors (see below), whose sum is σ = 17879711280. Its totient is φ = 1496448000.

The previous prime is 5689663783. The next prime is 5689663807. The reversal of 5689663800 is 83669865.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5689663807) 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 23 ways as a sum of consecutive naturals, for example, 21151 + ... + 108750.

Almost surely, 25689663800 is an apocalyptic number.

5689663800 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 5689663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939855640).

5689663800 is an abundant number, since it is smaller than the sum of its proper divisors (12190047480).

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

5689663800 is a wasteful number, since it uses less digits than its factorization.

5689663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129993 (or 129984 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 5689663800 is about 75429.8601350950. The cubic root of 5689663800 is about 1785.2355847211.

The spelling of 5689663800 in words is "five billion, six hundred eighty-nine million, six hundred sixty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7300 8760 10950 14600 21900 43800 129901 259802 389703 519604 649505 779406 1039208 1299010 1558812 1948515 2598020 3117624 3247525 3897030 5196040 6495050 7794060 9482773 9742575 12990100 15588120 18965546 19485150 25980200 28448319 37931092 38970300 47413865 56896638 75862184 77940600 94827730 113793276 142241595 189655460 227586552 237069325 284483190 379310920 474138650 568966380 711207975 948277300 1137932760 1422415950 1896554600 2844831900 5689663800