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678077363808 = 2532134112373571
BaseRepresentation
bin10011101111000001000…
…11110111011001100000
32101211020101012002110100
421313200203313121200
542102200301120213
61235300543102400
766663250331205
oct11674043673140
92354211162410
10678077363808
11241630aa3649
12ab4ba8a1a00
134bc33664470
1424b67941cac
151298965b773
hex9de08f7660

678077363808 has 288 divisors, whose sum is σ = 2129576877792. Its totient is φ = 203328921600.

The previous prime is 678077363783. The next prime is 678077363809. The reversal of 678077363808 is 808363770876.

678077363808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6780773638082 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678077363809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189882663 + ... + 189886233.

It is an arithmetic number, because the mean of its divisors is an integer number (7394364159).

Almost surely, 2678077363808 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 678077363808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064788438896).

678077363808 is an abundant number, since it is smaller than the sum of its proper divisors (1451499513984).

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

678077363808 is a wasteful number, since it uses less digits than its factorization.

678077363808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 678077363808 in words is "six hundred seventy-eight billion, seventy-seven million, three hundred sixty-three thousand, eight hundred eight".