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20004200006256 = 243473211443007
BaseRepresentation
bin1001000110001100101110…
…01111000100001001110000
32121211101100002111221010000
410203012113033010021300
510110222100200200011
6110313445210510000
74133153503340034
oct443062717041160
977741302457100
1020004200006256
116412808438994
1222b0b46135300
13b2150749253b
144d22cbd961c4
1524a54d967356
hex1231973c4270

20004200006256 has 100 divisors (see below), whose sum is σ = 58691081502592. Its totient is φ = 6576723258624.

The previous prime is 20004200006237. The next prime is 20004200006299. The reversal of 20004200006256 is 65260000240002.

20004200006256 is a `hidden beast` number, since 200 + 0 + 4 + 200 + 0 + 0 + 6 + 256 = 666.

It is a super-3 number, since 3×200042000062563 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 105626896 + ... + 105816111.

Almost surely, 220004200006256 is an apocalyptic number.

It is an amenable number.

20004200006256 is an abundant number, since it is smaller than the sum of its proper divisors (38686881496336).

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

20004200006256 is a wasteful number, since it uses less digits than its factorization.

20004200006256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211443100 (or 211443085 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20004200006256 its reverse (65260000240002), we get a palindrome (85264200246258).

The spelling of 20004200006256 in words is "twenty trillion, four billion, two hundred million, six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 292 324 432 438 584 648 657 876 1168 1296 1314 1752 1971 2628 3504 3942 5256 5913 7884 10512 11826 15768 23652 31536 47304 94608 211443007 422886014 634329021 845772028 1268658042 1691544056 1902987063 2537316084 3383088112 3805974126 5074632168 5708961189 7611948252 10149264336 11417922378 15223896504 15435339511 17126883567 22835844756 30447793008 30870679022 34253767134 45671689512 46306018533 61741358044 68507534268 91343379024 92612037066 123482716088 137015068536 138918055599 185224074132 246965432176 274030137072 277836111198 370448148264 416754166797 555672222396 740896296528 833508333594 1111344444792 1250262500391 1667016667188 2222688889584 2500525000782 3334033334376 5001050001564 6668066668752 10002100003128 20004200006256