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5680776384 = 263214966191
BaseRepresentation
bin1010100101001100…
…11100010011000000
3112122220101100012100
411102212130103000
543113234321014
62335410430400
7260526542163
oct52246342300
915586340170
105680776384
112455717418
121126592400
136c6bca05a
143bc673ada
15233acd009
hex15299c4c0

5680776384 has 84 divisors (see below), whose sum is σ = 16392448800. Its totient is φ = 1880855040.

The previous prime is 5680776379. The next prime is 5680776487. The reversal of 5680776384 is 4836770865.

5680776384 is a `hidden beast` number, since 568 + 0 + 7 + 76 + 3 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5680776384.

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 11 ways as a sum of consecutive naturals, for example, 52729 + ... + 118919.

It is an arithmetic number, because the mean of its divisors is an integer number (195148200).

Almost surely, 25680776384 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 5680776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196224400).

5680776384 is an abundant number, since it is smaller than the sum of its proper divisors (10711672416).

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

5680776384 is a wasteful number, since it uses less digits than its factorization.

5680776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66358 (or 66345 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 5680776384 is about 75370.9253226999. The cubic root of 5680776384 is about 1784.3055708017.

The spelling of 5680776384 in words is "five billion, six hundred eighty million, seven hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 149 192 288 298 447 576 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 9536 10728 14304 21456 28608 42912 66191 85824 132382 198573 264764 397146 529528 595719 794292 1059056 1191438 1588584 2118112 2382876 3177168 4236224 4765752 6354336 9531504 9862459 12708672 19063008 19724918 29587377 38126016 39449836 59174754 78899672 88762131 118349508 157799344 177524262 236699016 315598688 355048524 473398032 631197376 710097048 946796064 1420194096 1893592128 2840388192 5680776384