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2131966989 = 32523745233
BaseRepresentation
bin111111100010011…
…0011110000001101
312111120200010220100
41333010303300031
513331240420424
6551315241313
7103555264125
oct17704636015
95446603810
102131966989
119a4492399
124b5ba9239
1327c901239
1416320bc85
15c727ddc9
hex7f133c0d

2131966989 has 12 divisors (see below), whose sum is σ = 3080163996. Its totient is φ = 1421008512.

The previous prime is 2131966979. The next prime is 2131966997. The reversal of 2131966989 is 9896691312.

It can be written as a sum of positive squares in 2 ways, for example, as 1975091364 + 156875625 = 44442^2 + 12525^2 .

It is not a de Polignac number, because 2131966989 - 215 = 2131934221 is a prime.

It is a super-2 number, since 2×21319669892 = 9090566484371452242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131966909) 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, 24517 + ... + 69749.

It is an arithmetic number, because the mean of its divisors is an integer number (256680333).

Almost surely, 22131966989 is an apocalyptic number.

It is an amenable number.

2131966989 is a deficient number, since it is larger than the sum of its proper divisors (948197007).

2131966989 is a wasteful number, since it uses less digits than its factorization.

2131966989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50476 (or 50473 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 2131966989 is about 46173.2280547938. The cubic root of 2131966989 is about 1287.0442893313.

The spelling of 2131966989 in words is "two billion, one hundred thirty-one million, nine hundred sixty-six thousand, nine hundred eighty-nine".

Divisors: 1 3 9 5237 15711 45233 47133 135699 407097 236885221 710655663 2131966989