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5681568000 = 2835359183
BaseRepresentation
bin1010100101010010…
…11101100100000000
3112122221212120002110
411102221131210000
543113440134000
62335435415320
7260536350123
oct52251354400
915587776073
105681568000
112456108149
1211268b4540
136c7116474
143bc7dc3ba
15233bd7850
hex152a5d900

5681568000 has 144 divisors (see below), whose sum is σ = 18871646976. Its totient is φ = 1515059200.

The previous prime is 5681567921. The next prime is 5681568023. The reversal of 5681568000 is 8651865.

It is a self number, because there is not a number n which added to its sum of digits gives 5681568000.

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 15 ways as a sum of consecutive naturals, for example, 66409 + ... + 125591.

It is an arithmetic number, because the mean of its divisors is an integer number (131053104).

Almost surely, 25681568000 is an apocalyptic number.

5681568000 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 5681568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435823488).

5681568000 is an abundant number, since it is smaller than the sum of its proper divisors (13190078976).

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

5681568000 is an equidigital number, since it uses as much as digits as its factorization.

5681568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59217 (or 59193 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5681568000 is about 75376.1766077320. The cubic root of 5681568000 is about 1784.3884479261.

The spelling of 5681568000 in words is "five billion, six hundred eighty-one million, five hundred sixty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 59183 96000 118366 177549 236732 295915 355098 473464 591830 710196 887745 946928 1183660 1420392 1479575 1775490 1893856 2367320 2840784 2959150 3550980 3787712 4438725 4734640 5681568 5918300 7101960 7397875 7575424 8877450 9469280 11363136 11836600 14203920 14795750 15150848 17754900 18938560 22193625 22726272 23673200 28407840 29591500 35509800 37877120 44387250 45452544 47346400 56815680 59183000 71019600 75754240 88774500 94692800 113631360 118366000 142039200 177549000 189385600 227262720 236732000 284078400 355098000 378771200 473464000 568156800 710196000 946928000 1136313600 1420392000 1893856000 2840784000 5681568000