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426642876855 = 3251317792572113
BaseRepresentation
bin1100011010101011110…
…01011010100110110111
31111210020110211202011200
412031111321122212313
523442231034024410
6523555205303543
742552415421556
oct6152571324667
91453213752150
10426642876855
11154a35866098
126a829a04bb3
1331303340730
1416914801d9d
15b1709393c0
hex6355e5a9b7

426642876855 has 192 divisors, whose sum is σ = 857649461760. Its totient is φ = 194330492928.

The previous prime is 426642876851. The next prime is 426642876887. The reversal of 426642876855 is 558678246624.

426642876855 is a `hidden beast` number, since 4 + 2 + 66 + 428 + 76 + 85 + 5 = 666.

It is not a de Polignac number, because 426642876855 - 22 = 426642876851 is a prime.

It is a super-2 number, since 2×4266428768552 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 426642876792 and 426642876801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426642876851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201912279 + ... + 201914391.

It is an arithmetic number, because the mean of its divisors is an integer number (4466924280).

Almost surely, 2426642876855 is an apocalyptic number.

426642876855 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

426642876855 is an abundant number, since it is smaller than the sum of its proper divisors (431006584905).

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

426642876855 is a wasteful number, since it uses less digits than its factorization.

426642876855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2487 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 426642876855 in words is "four hundred twenty-six billion, six hundred forty-two million, eight hundred seventy-six thousand, eight hundred fifty-five".