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5676857856 = 29321398863
BaseRepresentation
bin1010100100101110…
…11111101000000000
3112122122000020222200
411102113133220000
543111233422411
62335150433200
7260451331665
oct52227375000
915578006880
105676857856
11245349036a
121125202800
136c61575b7
143bbd33a6c
152335a6e56
hex1525dfa00

5676857856 has 120 divisors (see below), whose sum is σ = 16503527040. Its totient is φ = 1878460416.

The previous prime is 5676857843. The next prime is 5676857881. The reversal of 5676857856 is 6587586765.

It is a happy number.

5676857856 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 8 + 578 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5676857793 and 5676857802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636081 + ... + 644943.

It is an arithmetic number, because the mean of its divisors is an integer number (137529392).

Almost surely, 25676857856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5676857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251763520).

5676857856 is an abundant number, since it is smaller than the sum of its proper divisors (10826669184).

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

5676857856 is a wasteful number, since it uses less digits than its factorization.

5676857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9007 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The square root of 5676857856 is about 75344.9258809112. The cubic root of 5676857856 is about 1783.8952125975.

The spelling of 5676857856 in words is "five billion, six hundred seventy-six million, eight hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 512 556 576 768 834 1112 1152 1251 1536 1668 2224 2304 2502 3336 4448 4608 5004 6672 8863 8896 10008 13344 17726 17792 20016 26589 26688 35452 35584 40032 53178 53376 70904 71168 79767 80064 106356 106752 141808 159534 160128 212712 213504 283616 319068 320256 425424 567232 638136 640512 850848 1134464 1231957 1276272 1701696 2268928 2463914 2552544 3403392 3695871 4537856 4927828 5105088 6806784 7391742 9855656 10210176 11087613 13613568 14783484 19711312 20420352 22175226 29566968 39422624 40840704 44350452 59133936 78845248 88700904 118267872 157690496 177401808 236535744 315380992 354803616 473071488 630761984 709607232 946142976 1419214464 1892285952 2838428928 5676857856