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46226420406 = 23237319513529
BaseRepresentation
bin101011000011010011…
…110011001010110110
311102022121011110120200
4223003103303022312
51224132430423111
633123000341330
73224351042655
oct530323631266
9142277143520
1046226420406
1118671677931
128b61174846
1344890261aa
1423474b919c
151308447256
hexac34f32b6

46226420406 has 48 divisors (see below), whose sum is σ = 100505708160. Its totient is φ = 15355267200.

The previous prime is 46226420389. The next prime is 46226420407. The reversal of 46226420406 is 60402462264.

46226420406 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 642 + 0 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46226420407) 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 23 ways as a sum of consecutive naturals, for example, 13097250 + ... + 13100778.

It is an arithmetic number, because the mean of its divisors is an integer number (2093868920).

Almost surely, 246226420406 is an apocalyptic number.

46226420406 is an abundant number, since it is smaller than the sum of its proper divisors (54279287754).

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

46226420406 is a wasteful number, since it uses less digits than its factorization.

46226420406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 46226420406 in words is "forty-six billion, two hundred twenty-six million, four hundred twenty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 373 746 1119 1951 2238 3357 3529 3902 5853 6714 7058 10587 11706 17559 21174 31761 35118 63522 727723 1316317 1455446 2183169 2632634 3948951 4366338 6549507 6885079 7897902 11846853 13099014 13770158 20655237 23693706 41310474 61965711 123931422 2568134467 5136268934 7704403401 15408806802 23113210203 46226420406