Base | Representation |
---|---|
bin | 111101100010101… |
… | …0001101100000000 |
3 | 12022220121220001000 |
4 | 1323011101230000 |
5 | 13212113340421 |
6 | 540523412000 |
7 | 102113022000 |
oct | 17305215400 |
9 | 5286556030 |
10 | 2064980736 |
11 | 96a69a655 |
12 | 497684000 |
13 | 26ba793c0 |
14 | 158372000 |
15 | c144b226 |
hex | 7b151b00 |
2064980736 has 576 divisors, whose sum is σ = 7783552000. Its totient is φ = 536481792.
The previous prime is 2064980713. The next prime is 2064980761. The reversal of 2064980736 is 6370894602.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×20649807362 = 8528290880102203392, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2064980691 and 2064980700.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 30820575 + ... + 30820641.
Almost surely, 22064980736 is an apocalyptic number.
2064980736 is a gapful number since it is divisible by the number (26) 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 2064980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891776000).
2064980736 is an abundant number, since it is smaller than the sum of its proper divisors (5718571264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2064980736 is an equidigital number, since it uses as much as digits as its factorization.
2064980736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 92 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The square root of 2064980736 is about 45442.0591082755. The cubic root of 2064980736 is about 1273.4209823045.
The spelling of 2064980736 in words is "two billion, sixty-four million, nine hundred eighty thousand, seven hundred thirty-six".
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