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678082280876 = 2271113220376873
BaseRepresentation
bin10011101111000001101…
…10100111110110101100
32101211020201102220101222
421313200312213312230
542102203030442001
61235301240322512
766663340200530
oct11674066476654
92354221386358
10678082280876
11241633851940
12ab500473438
134bc34696580
1424b68461bc0
1512989ccd61b
hex9de0da7dac

678082280876 has 96 divisors (see below), whose sum is σ = 1594000224768. Its totient is φ = 243751887360.

The previous prime is 678082280839. The next prime is 678082280917.

678082280876 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8782376 + ... + 8859248.

It is an arithmetic number, because the mean of its divisors is an integer number (16604169008).

Almost surely, 2678082280876 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 678082280876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797000112384).

678082280876 is an abundant number, since it is smaller than the sum of its proper divisors (915917943892).

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

678082280876 is a wasteful number, since it uses less digits than its factorization.

678082280876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79111 (or 79109 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 62.

The spelling of 678082280876 in words is "six hundred seventy-eight billion, eighty-two million, two hundred eighty thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2203 4004 4406 8812 15421 24233 28639 30842 48466 57278 61684 76873 96932 114556 153746 169631 200473 307492 315029 339262 400946 538111 630058 678524 801892 845603 999349 1076222 1260116 1691206 1998698 2152444 2205203 3382412 3997396 4410406 5919221 6995443 8820812 10992839 11838442 13990886 21985678 23676884 27981772 43971356 76949873 153899746 169351219 307799492 338702438 677404876 1185458533 1862863409 2201565847 2370917066 3725726818 4403131694 4741834132 7451453636 8806263388 13040043863 15410960929 24217224317 26080087726 30821921858 48434448634 52160175452 61643843716 96868897268 169520570219 339041140438 678082280876