| Base | Representation |
|---|---|
| bin | 110000011100010101110… |
| … | …010111001110000000000 |
| 3 | 102210020122022120000000000 |
| 4 | 300130111302321300000 |
| 5 | 414020210110212210 |
| 6 | 11025150000000000 |
| 7 | 462336602223540 |
| oct | 60342562716000 |
| 9 | 12706568500000 |
| 10 | 3328965319680 |
| 11 | 1073896156400 |
| 12 | 459213900000 |
| 13 | 1b1bc6563310 |
| 14 | b71a0ca9320 |
| 15 | 5b8d9c99ac0 |
| hex | 30715cb9c00 |
3328965319680 has 2904 divisors, whose sum is σ = 16204667017056. Its totient is φ = 638522818560.
The previous prime is 3328965319607. The next prime is 3328965319699. The reversal of 3328965319680 is 869135698233.
3328965319680 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 9 + 6 + 531 + 96 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2904).
It is a super-2 number, since 2×33289653196802 (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 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 263 ways as a sum of consecutive naturals, for example, 256074255354 + ... + 256074255366.
Almost surely, 23328965319680 is an apocalyptic number.
3328965319680 is a gapful number since it is divisible by the number (30) 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 3328965319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102333508528).
3328965319680 is an abundant number, since it is smaller than the sum of its proper divisors (12875701697376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3328965319680 is an equidigital number, since it uses as much as digits as its factorization.
3328965319680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 50388480, while the sum is 63.
3328965319680 divided by its product of nonzero digits (50388480) gives a palindrome (66066).
The spelling of 3328965319680 in words is "three trillion, three hundred twenty-eight billion, nine hundred sixty-five million, three hundred nineteen thousand, six hundred eighty".
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