Base | Representation |
---|---|
bin | 1010000010000001… |
… | …0110101100110000 |
3 | 20221200001020202000 |
4 | 2200200112230300 |
5 | 21003331224034 |
6 | 1123112454000 |
7 | 123505505145 |
oct | 24040265460 |
9 | 6850036660 |
10 | 2692836144 |
11 | 1162043719 |
12 | 6319aa300 |
13 | 33bb78a8b |
14 | 1b78ca3cc |
15 | 10b61c599 |
hex | a0816b30 |
2692836144 has 80 divisors (see below), whose sum is σ = 7806092640. Its totient is φ = 888710400.
The previous prime is 2692836119. The next prime is 2692836149. The reversal of 2692836144 is 4416382962.
2692836144 is a `hidden beast` number, since 2 + 6 + 9 + 28 + 3 + 614 + 4 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2692836144.
It is not an unprimeable number, because it can be changed into a prime (2692836149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12774 + ... + 74490.
It is an arithmetic number, because the mean of its divisors is an integer number (97576158).
Almost surely, 22692836144 is an apocalyptic number.
2692836144 is a gapful number since it is divisible by the number (24) 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 2692836144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903046320).
2692836144 is an abundant number, since it is smaller than the sum of its proper divisors (5113256496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2692836144 is a wasteful number, since it uses less digits than its factorization.
2692836144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61835 (or 61823 counting only the distinct ones).
The product of its digits is 497664, while the sum is 45.
The square root of 2692836144 is about 51892.5442043460. The cubic root of 2692836144 is about 1391.2440157835.
The spelling of 2692836144 in words is "two billion, six hundred ninety-two million, eight hundred thirty-six thousand, one hundred forty-four".
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