Base | Representation |
---|---|
bin | 1111111010110110111… |
… | …00010001101000000000 |
3 | 1221021220000120022220000 |
4 | 13331123130101220000 |
5 | 32430221204013342 |
6 | 1055141440520000 |
7 | 54343021442655 |
oct | 7753334215000 |
9 | 1837800508800 |
10 | 546994985472 |
11 | 1a0a85455671 |
12 | 8a017620000 |
13 | 3c77346b9a0 |
14 | 1c690803c2c |
15 | e36679344c |
hex | 7f5b711a00 |
546994985472 has 800 divisors, whose sum is σ = 1913148456912. Its totient is φ = 154028998656.
The previous prime is 546994985447. The next prime is 546994985473. The reversal of 546994985472 is 274589499645.
546994985472 is a `hidden beast` number, since 5 + 4 + 6 + 99 + 498 + 5 + 47 + 2 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 401266503936 + 145728481536 = 633456^2 + 381744^2 .
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 546994985472.
It is not an unprimeable number, because it can be changed into a prime (546994985473) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 339115738 + ... + 339117350.
Almost surely, 2546994985472 is an apocalyptic number.
546994985472 is a gapful number since it is divisible by the number (52) 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 546994985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956574228456).
546994985472 is an abundant number, since it is smaller than the sum of its proper divisors (1366153471440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
546994985472 is a wasteful number, since it uses less digits than its factorization.
546994985472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1710 (or 1685 counting only the distinct ones).
The product of its digits is 783820800, while the sum is 72.
The spelling of 546994985472 in words is "five hundred forty-six billion, nine hundred ninety-four million, nine hundred eighty-five thousand, four hundred seventy-two".
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