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678684486876 = 2231119382732213
BaseRepresentation
bin10011110000001001011…
…11110110110011011100
32101212210200121010201220
421320010233312303130
542104421212040001
61235441111533340
7100014301645254
oct11700457666334
92355720533656
10678684486876
11241912777150
12ab64a08a250
134bccc385296
1424bc4420964
15129c2ad4c36
hex9e04bf6cdc

678684486876 has 96 divisors (see below), whose sum is σ = 1738665347328. Its totient is φ = 204342620160.

The previous prime is 678684486863. The next prime is 678684486913.

678684486876 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6786844868762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21052546 + ... + 21084758.

It is an arithmetic number, because the mean of its divisors is an integer number (18111097368).

Almost surely, 2678684486876 is an apocalyptic number.

678684486876 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 678684486876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869332673664).

678684486876 is an abundant number, since it is smaller than the sum of its proper divisors (1059980860452).

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

678684486876 is a wasteful number, since it uses less digits than its factorization.

678684486876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33251 (or 33249 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 78.

The spelling of 678684486876 in words is "six hundred seventy-eight billion, six hundred eighty-four million, four hundred eighty-six thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 827 1158 1654 2123 2316 2481 3308 4246 4962 6369 8492 9097 9924 12738 18194 25476 27291 32213 36388 54582 64426 96639 109164 128852 159611 193278 319222 354343 386556 478833 638444 708686 957666 1063029 1417372 1755721 1915332 2126058 3511442 4252116 5267163 6217109 7022884 10534326 12434218 18651327 21068652 24868436 26640151 37302654 53280302 68388199 74605308 79920453 106560604 136776398 159840906 205164597 273552796 293041661 319681812 410329194 586083322 820658388 879124983 1172166644 1758249966 3516499932 5141549143 10283098286 15424647429 20566196572 30849294858 56557040573 61698589716 113114081146 169671121719 226228162292 339342243438 678684486876