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678120021876 = 2231123353632747
BaseRepresentation
bin10011101111000110001…
…10100101111101110100
32101211100100110100022210
421313203012211331310
542102242211200001
61235305105253420
766664306036563
oct11674306457564
92354310410283
10678120021876
1124165308a250
12ab511034270
134bc3c44bb1b
1424b6d487bda
151298d285dd6
hex9de31a5f74

678120021876 has 96 divisors (see below), whose sum is σ = 1806277874688. Its totient is φ = 195999400960.

The previous prime is 678120021871. The next prime is 678120021893.

678120021876 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678120021871) by changing a digit.

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, 755335 + ... + 1388081.

It is an arithmetic number, because the mean of its divisors is an integer number (18815394528).

Almost surely, 2678120021876 is an apocalyptic number.

678120021876 is a gapful number since it is divisible by the number (66) 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 678120021876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903138937344).

678120021876 is an abundant number, since it is smaller than the sum of its proper divisors (1128157852812).

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

678120021876 is a wasteful number, since it uses less digits than its factorization.

678120021876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633141 (or 633139 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 678120021876 in words is "six hundred seventy-eight billion, one hundred twenty million, twenty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 353 506 706 759 1012 1059 1412 1518 2118 3036 3883 4236 7766 8119 11649 15532 16238 23298 24357 32476 46596 48714 89309 97428 178618 267927 357236 535854 632747 1071708 1265494 1898241 2530988 3796482 6960217 7592964 13920434 14553181 20880651 27840868 29106362 41761302 43659543 58212724 83522604 87319086 160084991 174638172 223359691 320169982 446719382 480254973 640339964 670079073 893438764 960509946 1340158146 1921019892 2456956601 2680316292 4913913202 5137272893 7370869803 9827826404 10274545786 14741739606 15411818679 20549091572 29483479212 30823637358 56510001823 61647274716 113020003646 169530005469 226040007292 339060010938 678120021876