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2067002964 = 2232134416673
BaseRepresentation
bin111101100110011…
…1111011001010100
312100001102122000100
41323030333121110
513213123043324
6541035014100
7102136143465
oct17314773124
95301378010
102067002964
11970850a14
1249829a330
1326c3069a0
1415873ad6c
15c16ea4c9
hex7b33f654

2067002964 has 36 divisors (see below), whose sum is σ = 5626842676. Its totient is φ = 636000768.

The previous prime is 2067002963. The next prime is 2067002969. The reversal of 2067002964 is 4692007602.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 426752964 + 1640250000 = 20658^2 + 40500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067002963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2207869 + ... + 2208804.

Almost surely, 22067002964 is an apocalyptic number.

It is an amenable number.

2067002964 is an abundant number, since it is smaller than the sum of its proper divisors (3559839712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2067002964 is a wasteful number, since it uses less digits than its factorization.

2067002964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416696 (or 4416691 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2067002964 is about 45464.3042836905. The cubic root of 2067002964 is about 1273.8365321718.

The spelling of 2067002964 in words is "two billion, sixty-seven million, two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4416673 8833346 13250019 17666692 26500038 39750057 53000076 57416749 79500114 114833498 159000228 172250247 229666996 344500494 516750741 689000988 1033501482 2067002964