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249865568942 = 21121954342229
BaseRepresentation
bin1110100010110100100…
…1100000001010101110
3212212221120011001101012
43220231021200022232
513043211041201232
6310441530145222
724023621202323
oct3505511401256
9785846131335
10249865568942
1196a70666200
1240513582212
131a7402815a2
14c144a1ab4a
1567761129b2
hex3a2d2602ae

249865568942 has 24 divisors (see below), whose sum is σ = 433650995400. Its totient is φ = 107597611440.

The previous prime is 249865568893. The next prime is 249865568959.

249865568942 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27166517 + ... + 27175712.

It is an arithmetic number, because the mean of its divisors is an integer number (18068791475).

Almost surely, 2249865568942 is an apocalyptic number.

249865568942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

249865568942 is a deficient number, since it is larger than the sum of its proper divisors (183785426458).

249865568942 is a wasteful number, since it uses less digits than its factorization.

249865568942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54342272 (or 54342261 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 68.

The spelling of 249865568942 in words is "two hundred forty-nine billion, eight hundred sixty-five million, five hundred sixty-eight thousand, nine hundred forty-two".

Divisors: 1 2 11 19 22 38 121 209 242 418 2299 4598 54342229 108684458 597764519 1032502351 1195529038 2065004702 6575409709 11357525861 13150819418 22715051722 124932784471 249865568942