| Base | Representation |
|---|---|
| bin | 100100000101100100000… |
| … | …110110111110011000000 |
| 3 | 22210001222210112210200000 |
| 4 | 210011210012313303000 |
| 5 | 311112241131342200 |
| 6 | 5135123353400000 |
| 7 | 344110426152300 |
| oct | 44054406676300 |
| 9 | 8701883483600 |
| 10 | 2479875652800 |
| 11 | 876789179387 |
| 12 | 340749409000 |
| 13 | 14cb0b31a9a0 |
| 14 | 8805309d600 |
| 15 | 44791ed1300 |
| hex | 241641b7cc0 |
2479875652800 has 6048 divisors, whose sum is σ = 13174136801280. Its totient is φ = 451480780800.
The previous prime is 2479875652789. The next prime is 2479875652801. The reversal of 2479875652800 is 82565789742.
2479875652800 is a `hidden beast` number, since 2 + 47 + 9 + 8 + 7 + 565 + 28 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6048).
It is a super-2 number, since 2×24798756528002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (2479875652801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 79995988785 + ... + 79995988815.
It is an arithmetic number, because the mean of its divisors is an integer number (2178263360).
Almost surely, 22479875652800 is an apocalyptic number.
2479875652800 is a gapful number since it is divisible by the number (20) 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 2479875652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587068400640).
2479875652800 is an abundant number, since it is smaller than the sum of its proper divisors (10694261148480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2479875652800 is a wasteful number, since it uses less digits than its factorization.
2479875652800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 97 counting only the distinct ones).
The product of its (nonzero) digits is 67737600, while the sum is 63.
The spelling of 2479875652800 in words is "two trillion, four hundred seventy-nine billion, eight hundred seventy-five million, six hundred fifty-two thousand, eight hundred".
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