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6874234926876 = 2233438997277619
BaseRepresentation
bin110010000001000100001…
…0101001011011100011100
3220100011121020210022022000
41210002020111023130130
51400111413120130001
622341551355322300
71306434643532352
oct144021025133434
926304536708260
106874234926876
11221038a450489
12930333450390
133ab311c3b1b5
1419aa013957d2
15bdc34568a86
hex6408854b71c

6874234926876 has 384 divisors, whose sum is σ = 18729051264000. Its totient is φ = 2178729197568.

The previous prime is 6874234926859. The next prime is 6874234926907. The reversal of 6874234926876 is 6786294324786.

It is a happy number.

6874234926876 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 2 + 3 + 492 + 68 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11105387295 + ... + 11105387913.

It is an arithmetic number, because the mean of its divisors is an integer number (48773571000).

Almost surely, 26874234926876 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 6874234926876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364525632000).

6874234926876 is an abundant number, since it is smaller than the sum of its proper divisors (11854816337124).

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

6874234926876 is a wasteful number, since it uses less digits than its factorization.

6874234926876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 6874234926876 in words is "six trillion, eight hundred seventy-four billion, two hundred thirty-four million, nine hundred twenty-six thousand, eight hundred seventy-six".