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1968644953 = 112101316061
BaseRepresentation
bin111010101010111…
…0010001101011001
312002012100112012001
41311111302031121
513012433114303
6523202521001
766533130442
oct16525621531
95065315161
101968644953
11920281100
1246b366161
13254b19692
141496562c9
15b7c6c31d
hex75572359

1968644953 has 12 divisors (see below), whose sum is σ = 2166153444. Its totient is φ = 1787799200.

The previous prime is 1968644941. The next prime is 1968644959. The reversal of 1968644953 is 3594468691.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10316944 + 1958328009 = 3212^2 + 44253^2 .

It is not a de Polignac number, because 1968644953 - 29 = 1968644441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1968644894 and 1968644903.

It is not an unprimeable number, because it can be changed into a prime (1968644959) 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 11 ways as a sum of consecutive naturals, for example, 114543 + ... + 130603.

It is an arithmetic number, because the mean of its divisors is an integer number (180512787).

Almost surely, 21968644953 is an apocalyptic number.

It is an amenable number.

1968644953 is a deficient number, since it is larger than the sum of its proper divisors (197508491).

1968644953 is a wasteful number, since it uses less digits than its factorization.

1968644953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096 (or 17085 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The square root of 1968644953 is about 44369.4146118697. The cubic root of 1968644953 is about 1253.3021920470.

The spelling of 1968644953 in words is "one billion, nine hundred sixty-eight million, six hundred forty-four thousand, nine hundred fifty-three".

Divisors: 1 11 121 1013 11143 16061 122573 176671 1943381 16269793 178967723 1968644953