Base | Representation |
---|---|
bin | 110000010110100011100… |
… | …000100111101000100100 |
3 | 102202122121100220021110000 |
4 | 300112203200213220210 |
5 | 413414444224110324 |
6 | 11022241315301300 |
7 | 462026626061100 |
oct | 60264340475044 |
9 | 12678540807400 |
10 | 3322752956964 |
11 | 1071198469341 |
12 | 457b7b2aa830 |
13 | 1b14464a214c |
14 | b6b71bba900 |
15 | 5b6746b49c9 |
hex | 305a3827a24 |
3322752956964 has 1215 divisors, whose sum is σ = 11532298371363. Its totient is φ = 831565937664.
The previous prime is 3322752956953. The next prime is 3322752956989. The reversal of 3322752956964 is 4696592572233.
It is a happy number.
The square root of 3322752956964 is 1822842.
It is a perfect power (a square), and thus also a powerful number.
3322752956964 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 7 + 5 + 2 + 9 + 569 + 64 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1545650670564 + 1777102286400 = 1243242^2 + 1333080^2 .
It is a super-2 number, since 2×33227529569642 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
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 404 ways as a sum of consecutive naturals, for example, 89804133954 + ... + 89804133990.
Almost surely, 23322752956964 is an apocalyptic number.
3322752956964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.
3322752956964 is the 1822842-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3322752956964
3322752956964 is an abundant number, since it is smaller than the sum of its proper divisors (8209545414399).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3322752956964 is a wasteful number, since it uses less digits than its factorization.
3322752956964 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184 (or 89 counting only the distinct ones).
The product of its digits is 146966400, while the sum is 63.
The spelling of 3322752956964 in words is "three trillion, three hundred twenty-two billion, seven hundred fifty-two million, nine hundred fifty-six thousand, nine hundred sixty-four".
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