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563541420040 = 23529736654953
BaseRepresentation
bin10000011001101011010…
…11111010100000001000
31222212121011121021222221
420030311223322200020
533213113100420130
61110515400223424
755500040014664
oct10146553724010
91885534537887
10563541420040
111a7aa6492885
1291274a6ab74
13411ac4b7581
141d3c01778a4
15e9d422587a
hex8335afa808

563541420040 has 64 divisors (see below), whose sum is σ = 1329659809200. Its totient is φ = 214662131712.

The previous prime is 563541420019. The next prime is 563541420077. The reversal of 563541420040 is 40024145365.

It can be written as a sum of positive squares in 8 ways, for example, as 341249915556 + 222291504484 = 584166^2 + 471478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 563541419978 and 563541420005.

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 15 ways as a sum of consecutive naturals, for example, 3242797 + ... + 3412156.

Almost surely, 2563541420040 is an apocalyptic number.

It is an amenable number.

563541420040 is an abundant number, since it is smaller than the sum of its proper divisors (766118389160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

563541420040 is a wasteful number, since it uses less digits than its factorization.

563541420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655066 (or 6655062 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 563541420040 in words is "five hundred sixty-three billion, five hundred forty-one million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 1160 1460 2117 2920 4234 8468 10585 16936 21170 42340 84680 6654953 13309906 26619812 33274765 53239624 66549530 133099060 192993637 266198120 385987274 485811569 771974548 964968185 971623138 1543949096 1929936370 1943246276 2429057845 3859872740 3886492552 4858115690 7719745480 9716231380 14088535501 19432462760 28177071002 56354142004 70442677505 112708284008 140885355010 281770710020 563541420040