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945968661 = 3211291671973
BaseRepresentation
bin111000011000100…
…101011000010101
32102221000012001100
4320120211120111
53414131444121
6233511220313
732304413061
oct7030453025
92387005040
10945968661
11445a7a290
12224977699
13120c9cb91
148d8c4aa1
15580ac026
hex38625615

945968661 has 48 divisors (see below), whose sum is σ = 1552037760. Its totient is φ = 549951360.

The previous prime is 945968651. The next prime is 945968669. The reversal of 945968661 is 166869549.

It is a happy number.

It is not a de Polignac number, because 945968661 - 211 = 945966613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 945968598 and 945968607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945968669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478471 + ... + 480443.

It is an arithmetic number, because the mean of its divisors is an integer number (32334120).

Almost surely, 2945968661 is an apocalyptic number.

It is an amenable number.

945968661 is a deficient number, since it is larger than the sum of its proper divisors (606069099).

945968661 is a wasteful number, since it uses less digits than its factorization.

945968661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2183 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 945968661 is about 30756.6035348509. The cubic root of 945968661 is about 981.6550753158.

The spelling of 945968661 in words is "nine hundred forty-five million, nine hundred sixty-eight thousand, six hundred sixty-one".

Divisors: 1 3 9 11 29 33 87 99 167 261 319 501 957 1503 1837 1973 2871 4843 5511 5919 14529 16533 17757 21703 43587 53273 57217 65109 159819 171651 195327 329491 479457 514953 629387 988473 1888161 2965419 3624401 5664483 9555239 10873203 28665717 32619609 85997151 105107629 315322887 945968661