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968205469441 = 71481205345491
BaseRepresentation
bin11100001011011011000…
…10110000011100000001
310102120002220101220222011
432011231202300130001
5111330341100010231
62020442031212521
7126644014462450
oct16055542603401
93376086356864
10968205469441
11343682823561
1213778a077141
13703bc1aa052
1434c0b94ab97
151a2ba3149b1
hexe16d8b0701

968205469441 has 16 divisors (see below), whose sum is σ = 1107831374208. Its totient is φ = 828907862400.

The previous prime is 968205469423. The next prime is 968205469447. The reversal of 968205469441 is 144964502869.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 968205469441 - 25 = 968205469409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968205469447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21260706 + ... + 21306196.

It is an arithmetic number, because the mean of its divisors is an integer number (69239460888).

Almost surely, 2968205469441 is an apocalyptic number.

It is an amenable number.

968205469441 is a deficient number, since it is larger than the sum of its proper divisors (139625904767).

968205469441 is a wasteful number, since it uses less digits than its factorization.

968205469441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49032.

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 968205469441 in words is "nine hundred sixty-eight billion, two hundred five million, four hundred sixty-nine thousand, four hundred forty-one".

Divisors: 1 7 1481 2053 10367 14371 45491 318437 3040493 21283451 67372171 93393023 471605197 653751161 138315067063 968205469441