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5668966251 = 3313217107683
BaseRepresentation
bin1010100011110010…
…11000111101101011
3112122002011022202000
411101321120331223
543102223410001
62334305342043
7260324263254
oct52171307553
915562138660
105668966251
112449a90283
121122637923
136c4623600
143bac7bb2b
15232a48a86
hex151e58f6b

5668966251 has 96 divisors (see below), whose sum is σ = 9733374720. Its totient is φ = 3247934976.

The previous prime is 5668966223. The next prime is 5668966267. The reversal of 5668966251 is 1526698665.

5668966251 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 9 + 6 + 625 + 1 = 666.

It is not a de Polignac number, because 5668966251 - 27 = 5668966123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5668966271) 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 95 ways as a sum of consecutive naturals, for example, 8299756 + ... + 8300438.

It is an arithmetic number, because the mean of its divisors is an integer number (101389320).

Almost surely, 25668966251 is an apocalyptic number.

5668966251 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5668966251 is a deficient number, since it is larger than the sum of its proper divisors (4064408469).

5668966251 is a wasteful number, since it uses less digits than its factorization.

5668966251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 823 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 5668966251 is about 75292.5378175022. The cubic root of 5668966251 is about 1783.0682102234.

The spelling of 5668966251 in words is "five billion, six hundred sixty-eight million, nine hundred sixty-six thousand, two hundred fifty-one".

Divisors: 1 3 9 13 17 27 39 51 107 117 153 169 221 321 351 459 507 663 683 963 1391 1521 1819 1989 2049 2873 2889 4173 4563 5457 5967 6147 8619 8879 11611 12519 16371 18083 18441 23647 25857 26637 34833 37557 49113 54249 70941 73081 77571 79911 104499 115427 150943 162747 212823 219243 239733 307411 313497 346281 452829 488241 638469 657729 922233 950053 1038843 1242377 1358487 1962259 1973187 2766699 2850159 3116529 3727131 4075461 5886777 8300097 8550477 11181393 12350689 16150901 17660331 25651431 33544179 37052067 48452703 52980993 111156201 145358109 209961713 333468603 436074327 629885139 1889655417 5668966251