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5663896800 = 2535217138821
BaseRepresentation
bin1010100011001100…
…00011010011100000
3112121201121202202120
411101212003103200
543044424144200
62334004544240
7260233220442
oct52146032340
915551552676
105663896800
112447138551
1211209b2080
136c356a033
143ba31c492
152323969a0
hex1519834e0

5663896800 has 144 divisors (see below), whose sum is σ = 19520594352. Its totient is φ = 1421516800.

The previous prime is 5663896793. The next prime is 5663896829. The reversal of 5663896800 is 86983665.

It is a super-2 number, since 2×56638968002 = 64159453922100480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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, 28611 + ... + 110210.

It is an arithmetic number, because the mean of its divisors is an integer number (135559683).

Almost surely, 25663896800 is an apocalyptic number.

5663896800 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 5663896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760297176).

5663896800 is an abundant number, since it is smaller than the sum of its proper divisors (13856697552).

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

5663896800 is a wasteful number, since it uses less digits than its factorization.

5663896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138861 (or 138848 counting only the distinct ones).

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

The square root of 5663896800 is about 75258.8652585195. The cubic root of 5663896800 is about 1782.5365511121.

The spelling of 5663896800 in words is "five billion, six hundred sixty-three million, eight hundred ninety-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 138821 277642 416463 555284 694105 832926 1110568 1388210 1665852 2082315 2221136 2359957 2776420 3331704 3470525 4164630 4442272 4719914 5552840 6663408 6941050 7079871 8329260 9439828 10411575 11105680 11799785 13326816 13882100 14159742 16658520 18879656 20823150 22211360 23599570 27764200 28319484 33317040 35399355 37759312 41646300 47199140 55528400 56638968 58998925 66634080 70798710 75518624 83292600 94398280 111056800 113277936 117997850 141597420 166585200 176996775 188796560 226555872 235995700 283194840 333170400 353993550 377593120 471991400 566389680 707987100 943982800 1132779360 1415974200 1887965600 2831948400 5663896800