Base | Representation |
---|---|
bin | 111100101101011… |
… | …1010100000000000 |
3 | 12020222011022210110 |
4 | 1321122322200000 |
5 | 13132444122441 |
6 | 534050031320 |
7 | 101324023446 |
oct | 17132724000 |
9 | 5228138713 |
10 | 2037098496 |
11 | 955986284 |
12 | 48a278540 |
13 | 266066334 |
14 | 154794b96 |
15 | bdc8eb16 |
hex | 796ba800 |
2037098496 has 96 divisors (see below), whose sum is σ = 5458078080. Its totient is φ = 675643392.
The previous prime is 2037098449. The next prime is 2037098521. The reversal of 2037098496 is 6948907302.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (48).
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 7 ways as a sum of consecutive naturals, for example, 1430841 + ... + 1432263.
It is an arithmetic number, because the mean of its divisors is an integer number (56854980).
Almost surely, 22037098496 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2037098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729039040).
2037098496 is an abundant number, since it is smaller than the sum of its proper divisors (3420979584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2037098496 is a wasteful number, since it uses less digits than its factorization.
2037098496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1681 (or 1661 counting only the distinct ones).
The product of its (nonzero) digits is 653184, while the sum is 48.
The square root of 2037098496 is about 45134.2275440713. The cubic root of 2037098496 is about 1267.6635687900.
The spelling of 2037098496 in words is "two billion, thirty-seven million, ninety-eight thousand, four hundred ninety-six".
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