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678007164443 = 72173126255941
BaseRepresentation
bin10011101110111000110…
…00000100111000011011
32101211001111002121000212
421313130120010320123
542102024313230233
61235245554321335
766661435544300
oct11673430047033
92354044077025
10678007164443
112415a5406844
12ab49b28924b
134bc21c55c8b
1424b5c4ab0a7
15129833e1a48
hex9ddc604e1b

678007164443 has 24 divisors (see below), whose sum is σ = 862035087744. Its totient is φ = 529319750400.

The previous prime is 678007164413. The next prime is 678007164449. The reversal of 678007164443 is 344461700876.

678007164443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-678007164443 is a prime.

It is a super-3 number, since 3×6780071644433 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 678007164391 and 678007164400.

It is not an unprimeable number, because it can be changed into a prime (678007164449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13102148 + ... + 13153793.

It is an arithmetic number, because the mean of its divisors is an integer number (35918128656).

Almost surely, 2678007164443 is an apocalyptic number.

678007164443 is a deficient number, since it is larger than the sum of its proper divisors (184027923301).

678007164443 is a wasteful number, since it uses less digits than its factorization.

678007164443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26256003 (or 26255996 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 678007164443 in words is "six hundred seventy-eight billion, seven million, one hundred sixty-four thousand, four hundred forty-three".

Divisors: 1 7 17 31 49 119 217 527 833 1519 3689 25823 26255941 183791587 446350997 813934171 1286541109 3124456979 5697539197 13836880907 21871198853 39882774379 96858166349 678007164443