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1056317067 = 3213231732269
BaseRepresentation
bin111110111101100…
…001111010001011
32201121122110121100
4332331201322023
54130404121232
6252452312443
735114355411
oct7675417213
92647573540
101056317067
114a2299713
12255912723
1313aac79b0
14a040b2b1
1562b07c7c
hex3ef61e8b

1056317067 has 48 divisors (see below), whose sum is σ = 1725272640. Its totient is φ = 617912064.

The previous prime is 1056317051. The next prime is 1056317077. The reversal of 1056317067 is 7607136501.

1056317067 is a `hidden beast` number, since 10 + 5 + 631 + 7 + 0 + 6 + 7 = 666.

It is not a de Polignac number, because 1056317067 - 24 = 1056317051 is a prime.

It is a super-2 number, since 2×10563170672 = 2231611492070964978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056317047) 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 47 ways as a sum of consecutive naturals, for example, 464409 + ... + 466677.

It is an arithmetic number, because the mean of its divisors is an integer number (35943180).

Almost surely, 21056317067 is an apocalyptic number.

1056317067 is a deficient number, since it is larger than the sum of its proper divisors (668955573).

1056317067 is a wasteful number, since it uses less digits than its factorization.

1056317067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1056317067 is about 32501.0317836219. The cubic root of 1056317067 is about 1018.4305824256.

The spelling of 1056317067 in words is "one billion, fifty-six million, three hundred seventeen thousand, sixty-seven".

Divisors: 1 3 9 13 23 39 69 117 173 207 299 519 897 1557 2249 2269 2691 3979 6747 6807 11937 20241 20421 29497 35811 51727 52187 88491 155181 156561 265473 392537 465543 469683 678431 1177611 2035293 3532833 5102981 6105879 9028351 15308943 27085053 45926829 81255159 117368563 352105689 1056317067