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682696406400 = 27352183138839
BaseRepresentation
bin10011110111100111110…
…00000111010110000000
32102021011021201202200220
421323303320013112000
542141130240001100
61241343145143040
7100215565464531
oct11736370072600
92367137652626
10682696406400
11243591361718
12b038978aa80
134c4bb5bb168
1425085198688
1512b59e11aa0
hex9ef3e07580

682696406400 has 192 divisors, whose sum is σ = 2249917305600. Its totient is φ = 181948262400.

The previous prime is 682696406393. The next prime is 682696406407. The reversal of 682696406400 is 4604696286.

682696406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (682696406393) and next prime (682696406407).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6826964064002 (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 (682696406407) 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, 17558181 + ... + 17597019.

It is an arithmetic number, because the mean of its divisors is an integer number (11718319300).

Almost surely, 2682696406400 is an apocalyptic number.

682696406400 is a gapful number since it is divisible by the number (60) 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 682696406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124958652800).

682696406400 is an abundant number, since it is smaller than the sum of its proper divisors (1567220899200).

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

682696406400 is a wasteful number, since it uses less digits than its factorization.

682696406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40697 (or 40680 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 682696406400 in words is "six hundred eighty-two billion, six hundred ninety-six million, four hundred six thousand, four hundred".