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11346561663 = 329281464129
BaseRepresentation
bin10101001000100111…
…01100101001111111
31002021202120001110120
422210103230221333
5141214204433123
65113524110023
7551115116463
oct124423545177
932252501416
1011346561663
1148a2924798
122247b35313
1310ba978818
14798d244a3
154661e92e3
hex2a44eca7f

11346561663 has 16 divisors (see below), whose sum is σ = 15706159200. Its totient is φ = 7277527040.

The previous prime is 11346561659. The next prime is 11346561691. The reversal of 11346561663 is 36616564311.

It is a cyclic number.

It is not a de Polignac number, because 11346561663 - 22 = 11346561659 is a prime.

It is a super-2 number, since 2×113465616632 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11346561263) 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 15 ways as a sum of consecutive naturals, for example, 207618 + ... + 256511.

It is an arithmetic number, because the mean of its divisors is an integer number (981634950).

Almost surely, 211346561663 is an apocalyptic number.

11346561663 is a deficient number, since it is larger than the sum of its proper divisors (4359597537).

11346561663 is a wasteful number, since it uses less digits than its factorization.

11346561663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464442.

The product of its digits is 233280, while the sum is 42.

The spelling of 11346561663 in words is "eleven billion, three hundred forty-six million, five hundred sixty-one thousand, six hundred sixty-three".

Divisors: 1 3 29 87 281 843 8149 24447 464129 1392387 13459741 40379223 130420249 391260747 3782187221 11346561663