| Base | Representation |
|---|---|
| bin | 1001111010101010… |
| … | …0111101010010000 |
| 3 | 20212111222012221200 |
| 4 | 2132222213222100 |
| 5 | 20422431110444 |
| 6 | 1120051151200 |
| 7 | 122652252063 |
| oct | 23652475220 |
| 9 | 6774865850 |
| 10 | 2661972624 |
| 11 | 1146683483 |
| 12 | 6235a5500 |
| 13 | 335660a3c |
| 14 | 1b37748da |
| 15 | 108a72969 |
| hex | 9eaa7a90 |
2661972624 has 120 divisors (see below), whose sum is σ = 7586716800. Its totient is φ = 871153920.
The previous prime is 2661972623. The next prime is 2661972629. The reversal of 2661972624 is 4262791662.
2661972624 is a `hidden beast` number, since 2 + 6 + 6 + 19 + 7 + 2 + 624 = 666.
2661972624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 2661972624.
It is not an unprimeable number, because it can be changed into a prime (2661972623) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399782 + ... + 2400890.
It is an arithmetic number, because the mean of its divisors is an integer number (63222640).
Almost surely, 22661972624 is an apocalyptic number.
2661972624 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 2661972624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793358400).
2661972624 is an abundant number, since it is smaller than the sum of its proper divisors (4924744176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2661972624 is a wasteful number, since it uses less digits than its factorization.
2661972624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1413 (or 1404 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 2661972624 is about 51594.3080581570. The cubic root of 2661972624 is about 1385.9084039592.
The spelling of 2661972624 in words is "two billion, six hundred sixty-one million, nine hundred seventy-two thousand, six hundred twenty-four".
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