Base | Representation |
---|---|
bin | 1001100111000000101… |
… | …01100000011111100100 |
3 | 1011120020220021100000000 |
4 | 10303200111200133210 |
5 | 20402202344431441 |
6 | 411403322021300 |
7 | 32566125211044 |
oct | 4634025403744 |
9 | 1146226240000 |
10 | 330181248996 |
11 | 118035786395 |
12 | 53ba9047830 |
13 | 2519c914221 |
14 | 11da368b724 |
15 | 88c718b2b6 |
hex | 4ce05607e4 |
330181248996 has 81 divisors (see below), whose sum is σ = 866926155459. Its totient is φ = 110029387176.
The previous prime is 330181248983. The next prime is 330181249003. The reversal of 330181248996 is 699842181033.
The square root of 330181248996 is 574614.
It is a perfect power (a square), and thus also a powerful number.
330181248996 is a `hidden beast` number, since 3 + 301 + 8 + 1 + 248 + 9 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (81).
It is a Harshad number since it is a multiple of its sum of digits (54).
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 26 ways as a sum of consecutive naturals, for example, 93085695 + ... + 93089241.
Almost surely, 2330181248996 is an apocalyptic number.
330181248996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
330181248996 is the 574614-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 330181248996
330181248996 is an abundant number, since it is smaller than the sum of its proper divisors (536744906463).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330181248996 is an frugal number, since it uses more digits than its factorization.
330181248996 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7122 (or 3552 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The spelling of 330181248996 in words is "three hundred thirty billion, one hundred eighty-one million, two hundred forty-eight thousand, nine hundred ninety-six".
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