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290405665404 = 22328066824039
BaseRepresentation
bin1000011100111011000…
…01101100101001111100
31000202120212111022221100
410032131201230221330
514224222322243104
6341224401133100
726660344266351
oct4163541545174
91022525438840
10290405665404
11102184477758
124834832a190
13215011b764a
14100acc1a628
15784a233139
hex439d86ca7c

290405665404 has 18 divisors (see below), whose sum is σ = 734080987640. Its totient is φ = 96801888456.

The previous prime is 290405665367. The next prime is 290405665423. The reversal of 290405665404 is 404566504092.

290405665404 is a `hidden beast` number, since 2 + 9 + 0 + 40 + 5 + 66 + 540 + 4 = 666.

290405665404 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 290405665404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4033411984 + ... + 4033412055.

Almost surely, 2290405665404 is an apocalyptic number.

It is an amenable number.

290405665404 is an abundant number, since it is smaller than the sum of its proper divisors (443675322236).

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

290405665404 is a wasteful number, since it uses less digits than its factorization.

290405665404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066824049 (or 8066824044 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 290405665404 its sum of digits (45), we get a square (290405665449 = 5388932).

The spelling of 290405665404 in words is "two hundred ninety billion, four hundred five million, six hundred sixty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 8066824039 16133648078 24200472117 32267296156 48400944234 72601416351 96801888468 145202832702 290405665404