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2163530664 = 233230049037
BaseRepresentation
bin1000000011110100…
…1101101110101000
312120210001202010100
42000331031232220
513412330440124
6554403545400
7104420464401
oct20075155650
95523052110
102163530664
11a10290679
1250468b260
13286302b79
141674a69a8
15c9e161c9
hex80f4dba8

2163530664 has 24 divisors (see below), whose sum is σ = 5859562410. Its totient is φ = 721176864.

The previous prime is 2163530597. The next prime is 2163530669. The reversal of 2163530664 is 4660353612.

2163530664 is a `hidden beast` number, since 2 + 1 + 63 + 530 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1556302500 + 607228164 = 39450^2 + 24642^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (2163530669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15024447 + ... + 15024590.

Almost surely, 22163530664 is an apocalyptic number.

2163530664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2163530664 is an abundant number, since it is smaller than the sum of its proper divisors (3696031746).

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

2163530664 is a wasteful number, since it uses less digits than its factorization.

2163530664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30049049 (or 30049042 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2163530664 is about 46513.7685422284. The cubic root of 2163530664 is about 1293.3647440441.

The spelling of 2163530664 in words is "two billion, one hundred sixty-three million, five hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30049037 60098074 90147111 120196148 180294222 240392296 270441333 360588444 540882666 721176888 1081765332 2163530664