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420206463864 = 2332111513513667
BaseRepresentation
bin1100001110101100100…
…00011100101101111000
31111011121220121002102100
412013112100130231320
523341040323320424
6521012402503400
742234052003245
oct6072620345570
91434556532370
10420206463864
11152232659810
1269532364b60
1330818a24435
14164a3a705cc
15ade5848dc9
hex61d641cb78

420206463864 has 96 divisors (see below), whose sum is σ = 1249741434240. Its totient is φ = 126491976000.

The previous prime is 420206463847. The next prime is 420206463869. The reversal of 420206463864 is 468364602024.

420206463864 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 0 + 6 + 4 + 638 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420206463869) 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, 1637242 + ... + 1876425.

It is an arithmetic number, because the mean of its divisors is an integer number (13018139940).

Almost surely, 2420206463864 is an apocalyptic number.

420206463864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420206463864 is an abundant number, since it is smaller than the sum of its proper divisors (829534970376).

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

420206463864 is a wasteful number, since it uses less digits than its factorization.

420206463864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513841 (or 3513834 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 420206463864 in words is "four hundred twenty billion, two hundred six million, four hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 151 198 264 302 396 453 604 792 906 1208 1359 1661 1812 2718 3322 3624 4983 5436 6644 9966 10872 13288 14949 19932 29898 39864 59796 119592 3513667 7027334 10541001 14054668 21082002 28109336 31623003 38650337 42164004 63246006 77300674 84328008 115951011 126492012 154601348 231902022 252984024 309202696 347853033 463804044 530563717 695706066 927608088 1061127434 1391412132 1591691151 2122254868 2782824264 3183382302 4244509736 4775073453 5836200887 6366764604 9550146906 11672401774 12733529208 17508602661 19100293812 23344803548 35017205322 38200587624 46689607096 52525807983 70034410644 105051615966 140068821288 210103231932 420206463864