Base | Representation |
---|---|
bin | 111110100000000… |
… | …0001000000000000 |
3 | 12102011011120100000 |
4 | 1331000001000000 |
5 | 13243332443341 |
6 | 544033200000 |
7 | 102653350500 |
oct | 17500010000 |
9 | 5364146300 |
10 | 2097156096 |
11 | 986876462 |
12 | 4a6400000 |
13 | 275633589 |
14 | 15c749a00 |
15 | c41a48b6 |
hex | 7d001000 |
2097156096 has 468 divisors, whose sum is σ = 7477662192. Its totient is φ = 585252864.
The previous prime is 2097156067. The next prime is 2097156097. The reversal of 2097156096 is 6906517902.
It is a happy number.
2097156096 is a `hidden beast` number, since 20 + 9 + 7 + 15 + 609 + 6 = 666.
It is a super-2 number, since 2×20971560962 = 8796127381979922432, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2097156097) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48771051 + ... + 48771093.
Almost surely, 22097156096 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 2097156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738831096).
2097156096 is an abundant number, since it is smaller than the sum of its proper divisors (5380506096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2097156096 is an frugal number, since it uses more digits than its factorization.
2097156096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96 (or 55 counting only the distinct ones).
The product of its (nonzero) digits is 204120, while the sum is 45.
The square root of 2097156096 is about 45794.7169005334. The cubic root of 2097156096 is about 1280.0008333328. Note that the first 3 decimals are identical.
The spelling of 2097156096 in words is "two billion, ninety-seven million, one hundred fifty-six thousand, ninety-six".
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