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2000959965 = 32544465777
BaseRepresentation
bin111011101000100…
…0011100111011101
312011110011022001100
41313101003213131
513044221204330
6530315303313
7100404610344
oct16721034735
95143138040
102000959965
11937542924
1247a14ab39
1325b7222a4
1414da68b5b
15baa02060
hex774439dd

2000959965 has 12 divisors (see below), whose sum is σ = 3468330684. Its totient is φ = 1067178624.

The previous prime is 2000959949. The next prime is 2000959967. The reversal of 2000959965 is 5699590002.

It can be written as a sum of positive squares in 2 ways, for example, as 1419330276 + 581629689 = 37674^2 + 24117^2 .

It is not a de Polignac number, because 2000959965 - 24 = 2000959949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 44465777 = 2000959965 / (2 + 0 + 0 + 0 + 9 + 5 + 9 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 2000959965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000959967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22232844 + ... + 22232933.

It is an arithmetic number, because the mean of its divisors is an integer number (289027557).

Almost surely, 22000959965 is an apocalyptic number.

It is an amenable number.

2000959965 is a deficient number, since it is larger than the sum of its proper divisors (1467370719).

2000959965 is a wasteful number, since it uses less digits than its factorization.

2000959965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44465788 (or 44465785 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 2000959965 is about 44732.0909974036. The cubic root of 2000959965 is about 1260.1225976703.

The spelling of 2000959965 in words is "two billion, nine hundred fifty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 44465777 133397331 222328885 400191993 666986655 2000959965