Base | Representation |
---|---|
bin | 101010111110000000010… |
… | …110000000000000000000 |
3 | 101110021200102012121100000 |
4 | 222332000112000000000 |
5 | 341334311210030133 |
6 | 10140255021200000 |
7 | 423222014014500 |
oct | 52760026000000 |
9 | 11407612177300 |
10 | 2952795783168 |
11 | a39301270a30 |
12 | 3b8331400000 |
13 | 1855a8071c5a |
14 | a2cb7a0da00 |
15 | 51c20554413 |
hex | 2af80580000 |
2952795783168 has 1440 divisors, whose sum is σ = 11487080404800. Its totient is φ = 749123665920.
The previous prime is 2952795783167. The next prime is 2952795783181. The reversal of 2952795783168 is 8613875972592.
2952795783168 is a `hidden beast` number, since 2 + 9 + 527 + 9 + 5 + 7 + 8 + 31 + 68 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 2952795783096 and 2952795783105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2952795783167) 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 71 ways as a sum of consecutive naturals, for example, 68669669355 + ... + 68669669397.
It is an arithmetic number, because the mean of its divisors is an integer number (7977139170).
Almost surely, 22952795783168 is an apocalyptic number.
2952795783168 is a gapful number since it is divisible by the number (28) 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 2952795783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743540202400).
2952795783168 is an abundant number, since it is smaller than the sum of its proper divisors (8534284621632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2952795783168 is an frugal number, since it uses more digits than its factorization.
2952795783168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 66 counting only the distinct ones).
The product of its digits is 457228800, while the sum is 72.
The spelling of 2952795783168 in words is "two trillion, nine hundred fifty-two billion, seven hundred ninety-five million, seven hundred eighty-three thousand, one hundred sixty-eight".
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