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2064444660 = 2232511469137
BaseRepresentation
bin111101100001100…
…1110110011110100
312022212121122200100
41323003032303310
513211444212120
6540504114100
7102105330045
oct17303166364
95285548610
102064444660
1196a363913
12497465930
1326b91c3b5
141582728cc
15c1392490
hex7b0cecf4

2064444660 has 36 divisors (see below), whose sum is σ = 6262149348. Its totient is φ = 550518528.

The previous prime is 2064444583. The next prime is 2064444661. The reversal of 2064444660 is 664444602.

It is a happy number.

2064444660 is a `hidden beast` number, since 2 + 0 + 644 + 4 + 4 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 408605796 + 1655838864 = 20214^2 + 40692^2 .

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 (2064444661) 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, 5734389 + ... + 5734748.

It is an arithmetic number, because the mean of its divisors is an integer number (173948593).

Almost surely, 22064444660 is an apocalyptic number.

2064444660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064444660 is an abundant number, since it is smaller than the sum of its proper divisors (4197704688).

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

2064444660 is a wasteful number, since it uses less digits than its factorization.

2064444660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11469152 (or 11469147 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2064444660 is about 45436.1602691072. The cubic root of 2064444660 is about 1273.3107779661.

The spelling of 2064444660 in words is "two billion, sixty-four million, four hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11469137 22938274 34407411 45876548 57345685 68814822 103222233 114691370 137629644 172037055 206444466 229382740 344074110 412888932 516111165 688148220 1032222330 2064444660