Base | Representation |
---|---|
bin | 11111110001101011011010… |
… | …10110101101010000000000 |
3 | 100011102010212102011001000000 |
4 | 33320311231112231100000 |
5 | 33124324343321421210 |
6 | 404340520544000000 |
7 | 20501264500424430 |
oct | 1770655526552000 |
9 | 304363772131000 |
10 | 69876657607680 |
11 | 202a05845a2200 |
12 | 7a06693300000 |
13 | 2ccb457216901 |
14 | 133809666a2c0 |
15 | 8129bb3b6ac0 |
hex | 3f8d6d5ad400 |
69876657607680 has 5544 divisors, whose sum is σ = 340401427890048. Its totient is φ = 13440511180800.
The previous prime is 69876657607667. The next prime is 69876657607753. The reversal of 69876657607680 is 8670675667896.
69876657607680 is digitally balanced in base 2, because in such base 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 (5544).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a self number, because there is not a number n which added to its sum of digits gives 69876657607680.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2254085729265 + ... + 2254085729295.
Almost surely, 269876657607680 is an apocalyptic number.
69876657607680 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 69876657607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170200713945024).
69876657607680 is an abundant number, since it is smaller than the sum of its proper divisors (270524770282368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
69876657607680 is a wasteful number, since it uses less digits than its factorization.
69876657607680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 7681443840, while the sum is 81.
The spelling of 69876657607680 in words is "sixty-nine trillion, eight hundred seventy-six billion, six hundred fifty-seven million, six hundred seven thousand, six hundred eighty".
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