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968763609 = 321131479659
BaseRepresentation
bin111001101111100…
…010100011011001
32111111220021211200
4321233202203121
53441000413414
6240043544413
733002232462
oct7157424331
92444807750
10968763609
11457929490
1223052b109
13125921508
1492939d69
155a0b1109
hex39be28d9

968763609 has 48 divisors (see below), whose sum is σ = 1581465600. Its totient is φ = 566143200.

The previous prime is 968763571. The next prime is 968763613. The reversal of 968763609 is 906367869.

It is a happy number.

It is not a de Polignac number, because 968763609 - 28 = 968763353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (968763109) 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 47 ways as a sum of consecutive naturals, for example, 1469722 + ... + 1470380.

It is an arithmetic number, because the mean of its divisors is an integer number (32947200).

Almost surely, 2968763609 is an apocalyptic number.

968763609 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

968763609 is a deficient number, since it is larger than the sum of its proper divisors (612701991).

968763609 is a wasteful number, since it uses less digits than its factorization.

968763609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 968763609 is about 31124.9676144410. The cubic root of 968763609 is about 989.4775357702.

The spelling of 968763609 in words is "nine hundred sixty-eight million, seven hundred sixty-three thousand, six hundred nine".

Divisors: 1 3 9 11 31 33 93 99 279 341 479 659 1023 1437 1977 3069 4311 5269 5931 7249 14849 15807 20429 21747 44547 47421 61287 65241 133641 163339 183861 224719 315661 490017 674157 946983 1470051 2022471 2840949 3472271 9785491 10416813 29356473 31250439 88069419 107640401 322921203 968763609