Base | Representation |
---|---|
bin | 111100000110101111… |
… | …101110110000000000 |
3 | 20011120202001002100100 |
4 | 330012233232300000 |
5 | 2024133121404432 |
6 | 45352002322400 |
7 | 4443206162004 |
oct | 740657566000 |
9 | 204522032310 |
10 | 64537684992 |
11 | 25408927a50 |
12 | 10611659400 |
13 | 61168998b1 |
14 | 31a33ac704 |
15 | 1a2acd707c |
hex | f06beec00 |
64537684992 has 528 divisors, whose sum is σ = 215204221440. Its totient is φ = 18436915200.
The previous prime is 64537684963. The next prime is 64537685033. The reversal of 64537684992 is 29948673546.
64537684992 is a `hidden beast` number, since 6 + 4 + 537 + 6 + 8 + 4 + 9 + 92 = 666.
It is a tau number, because it is divible by the number of its divisors (528).
It is a super-2 number, since 2×645376849922 (a number of 22 digits) contains 22 as substring.
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 47 ways as a sum of consecutive naturals, for example, 207516517 + ... + 207516827.
Almost surely, 264537684992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 64537684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107602110720).
64537684992 is an abundant number, since it is smaller than the sum of its proper divisors (150666536448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64537684992 is a wasteful number, since it uses less digits than its factorization.
64537684992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 460 (or 439 counting only the distinct ones).
The product of its digits is 78382080, while the sum is 63.
The spelling of 64537684992 in words is "sixty-four billion, five hundred thirty-seven million, six hundred eighty-four thousand, nine hundred ninety-two".
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