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5668105200 = 2435243109847
BaseRepresentation
bin1010100011101100…
…00110101111110000
3112122000112120121020
411101312012233300
543102013331300
62334235055440
7260314046022
oct52166065760
915560476536
105668105200
11244955236a
1211222a1580
136c43b1704
143baad6012
152329288a0
hex151d86bf0

5668105200 has 120 divisors (see below), whose sum is σ = 18579251328. Its totient is φ = 1476330240.

The previous prime is 5668105181. The next prime is 5668105207. The reversal of 5668105200 is 25018665.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5668105207) by changing a digit.

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, 3324 + ... + 106523.

Almost surely, 25668105200 is an apocalyptic number.

5668105200 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 5668105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289625664).

5668105200 is an abundant number, since it is smaller than the sum of its proper divisors (12911146128).

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

5668105200 is a wasteful number, since it uses less digits than its factorization.

5668105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109911 (or 109900 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5668105200 is about 75286.8195635863. The cubic root of 5668105200 is about 1782.9779297774.

The spelling of 5668105200 in words is "five billion, six hundred sixty-eight million, one hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 109847 219694 329541 439388 549235 659082 878776 1098470 1318164 1647705 1757552 2196940 2636328 2746175 3295410 4393880 4723421 5272656 5492350 6590820 8238525 8787760 9446842 10984700 13181640 14170263 16477050 18893684 21969400 23617105 26363280 28340526 32954100 37787368 43938800 47234210 56681052 65908200 70851315 75574736 94468420 113362104 118085525 131816400 141702630 188936840 226724208 236171050 283405260 354256575 377873680 472342100 566810520 708513150 944684200 1133621040 1417026300 1889368400 2834052600 5668105200