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642042240246 = 232113242637577
BaseRepresentation
bin10010101011111001011…
…00110001110011110110
32021101020000202010221100
421111330230301303312
541004400303141441
61210541121230530
764246255666011
oct11257454616366
92241200663840
10642042240246
1122831a1199a0
12a4522792446
134870cb56544
1423109b84378
1511a7acaccb6
hex957cb31cf6

642042240246 has 24 divisors (see below), whose sum is σ = 1517554386504. Its totient is φ = 194558254560.

The previous prime is 642042240239. The next prime is 642042240263.

642042240246 is a `hidden beast` number, since 6 + 4 + 204 + 2 + 2 + 402 + 46 = 666.

642042240246 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 642042240246.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1621318591 + ... + 1621318986.

It is an arithmetic number, because the mean of its divisors is an integer number (63231432771).

Almost surely, 2642042240246 is an apocalyptic number.

642042240246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642042240246 is an abundant number, since it is smaller than the sum of its proper divisors (875512146258).

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

642042240246 is a wasteful number, since it uses less digits than its factorization.

642042240246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242637596 (or 3242637593 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 642042 and 240246, that added together give a palindrome (882288).

The spelling of 642042240246 in words is "six hundred forty-two billion, forty-two million, two hundred forty thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3242637577 6485275154 9727912731 19455825462 29183738193 35669013347 58367476386 71338026694 107007040041 214014080082 321021120123 642042240246