Base | Representation |
---|---|
bin | 1101101101110000… |
… | …0110100000010000 |
3 | 100111120112111011211 |
4 | 3123130012200100 |
5 | 30014440430401 |
6 | 1405152545504 |
7 | 160142613400 |
oct | 33334064020 |
9 | 10446474154 |
10 | 3681576976 |
11 | 161a177300 |
12 | 868b52294 |
13 | 46897321c |
14 | 26cd46800 |
15 | 168327951 |
hex | db706810 |
3681576976 has 135 divisors (see below), whose sum is σ = 9167074077. Its totient is φ = 1427099520.
The previous prime is 3681576961. The next prime is 3681576979. The reversal of 3681576976 is 6796751863.
It is a happy number.
The square root of 3681576976 is 60676.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 3607203600 + 74373376 = 60060^2 + 8624^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 3681576976.
It is not an unprimeable number, because it can be changed into a prime (3681576979) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18688110 + ... + 18688306.
Almost surely, 23681576976 is an apocalyptic number.
3681576976 is the 60676-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3681576976
3681576976 is an abundant number, since it is smaller than the sum of its proper divisors (5485497101).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3681576976 is a wasteful number, since it uses less digits than its factorization.
3681576976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 438 (or 217 counting only the distinct ones).
The product of its digits is 11430720, while the sum is 58.
The cubic root of 3681576976 is about 1544.1090265481.
The spelling of 3681576976 in words is "three billion, six hundred eighty-one million, five hundred seventy-six thousand, nine hundred seventy-six".
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