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676443344676 = 223115922186533
BaseRepresentation
bin10011101011111110010…
…10100100111100100100
32101200000111111022121020
421311333022210330210
542040323444012201
61234430452251140
766604616363061
oct11657712447444
92350014438536
10676443344676
112409726a6910
12ab123610ab0
134ba32c7a238
1424a50913c68
15128e0e8ca36
hex9d7f2a4f24

676443344676 has 48 divisors (see below), whose sum is σ = 1721904760128. Its totient is φ = 204977001600.

The previous prime is 676443344671. The next prime is 676443344741.

676443344676 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (676443344671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7773906 + ... + 7860438.

It is an arithmetic number, because the mean of its divisors is an integer number (35873015836).

Almost surely, 2676443344676 is an apocalyptic number.

676443344676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

676443344676 is an abundant number, since it is smaller than the sum of its proper divisors (1045461415452).

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

676443344676 is a wasteful number, since it uses less digits than its factorization.

676443344676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145772 (or 145770 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 60.

The spelling of 676443344676 in words is "six hundred seventy-six billion, four hundred forty-three million, three hundred forty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 59221 86533 118442 173066 177663 236884 259599 346132 355326 519198 651431 710652 951863 1038396 1302862 1903726 1954293 2605724 2855589 3807452 3908586 5711178 7817172 11422356 5124570793 10249141586 15373712379 20498283172 30747424758 56370278723 61494849516 112740557446 169110836169 225481114892 338221672338 676443344676