Base | Representation |
---|---|
bin | 1000000000011011001010001… |
… | …0111100110100110000000000 |
3 | 2201212220002120122210000210000 |
4 | 2000012302202330310300000 |
5 | 1042322004040144233401 |
6 | 5314141553105440000 |
7 | 226450334116643310 |
oct | 20006624274646000 |
9 | 2655802518700700 |
10 | 563416543742976 |
11 | 153581683781a00 |
12 | 53235a98640000 |
13 | 1b24bc4b9c5b21 |
14 | 9d1b7130c1440 |
15 | 4520b55bdd186 |
hex | 2006ca2f34c00 |
563416543742976 has 2640 divisors, whose sum is σ = 2149010593906176. Its totient is φ = 143908503552000.
The previous prime is 563416543742957. The next prime is 563416543743007. The reversal of 563416543742976 is 679247345614365.
563416543742976 is a `hidden beast` number, since 5 + 6 + 3 + 4 + 1 + 6 + 543 + 7 + 4 + 2 + 9 + 76 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
Its product of digits (2743372800) is a multiple of the sum of its prime factors (720).
It is an unprimeable number.
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 239 ways as a sum of consecutive naturals, for example, 1811628757861 + ... + 1811628758171.
Almost surely, 2563416543742976 is an apocalyptic number.
563416543742976 is a gapful number since it is divisible by the number (56) 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 563416543742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074505296953088).
563416543742976 is an abundant number, since it is smaller than the sum of its proper divisors (1585594050163200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
563416543742976 is a wasteful number, since it uses less digits than its factorization.
563416543742976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 720 (or 682 counting only the distinct ones).
The product of its digits is 2743372800, while the sum is 72.
The spelling of 563416543742976 in words is "five hundred sixty-three trillion, four hundred sixteen billion, five hundred forty-three million, seven hundred forty-two thousand, nine hundred seventy-six".
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