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2663331132 = 22371113122003
BaseRepresentation
bin1001111010111111…
…0011010100111100
320212121112020110210
42132233303110330
520423303044012
61120140232420
7122666640540
oct23657632474
96777466423
102663331132
111147421110
12623b3b710
13335a181a7
141b3a09a20
15108c4023c
hex9ebf353c

2663331132 has 96 divisors (see below), whose sum is σ = 7807371264. Its totient is φ = 686462400.

The previous prime is 2663331113. The next prime is 2663331133. The reversal of 2663331132 is 2311333662.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2663331132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663331133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110043 + ... + 132045.

It is an arithmetic number, because the mean of its divisors is an integer number (81326784).

Almost surely, 22663331132 is an apocalyptic number.

2663331132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903685632).

2663331132 is an abundant number, since it is smaller than the sum of its proper divisors (5144040132).

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

2663331132 is a wasteful number, since it uses less digits than its factorization.

2663331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22159 (or 22157 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 2663331132 is about 51607.4716683544. The cubic root of 2663331132 is about 1386.1441248233.

Adding to 2663331132 its reverse (2311333662), we get a palindrome (4974664794).

The spelling of 2663331132 in words is "two billion, six hundred sixty-three million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 131 132 154 231 262 308 393 462 524 786 917 924 1441 1572 1834 2751 2882 3668 4323 5502 5764 8646 10087 11004 17292 20174 22003 30261 40348 44006 60522 66009 88012 121044 132018 154021 242033 264036 308042 462063 484066 616084 726099 924126 968132 1452198 1694231 1848252 2882393 2904396 3388462 5082693 5764786 6776924 8647179 10165386 11529572 17294358 20176751 20330772 31706323 34588716 40353502 60530253 63412646 80707004 95118969 121060506 126825292 190237938 221944261 242121012 380475876 443888522 665832783 887777044 1331665566 2663331132