Search a number
-
+
2002349529180 = 223257111374314957
BaseRepresentation
bin11101001000110101010…
…101010001100001011100
321002102102011220022002100
4131020311111101201130
5230301302434413210
64131511111325100
7264444042113250
oct35106525214134
97072364808070
102002349529180
11702212120940
1228409a980790
13116a8925b520
146ccb2932260
15371443d45c0
hex1d23555185c

2002349529180 has 576 divisors, whose sum is σ = 8166545307648. Its totient is φ = 383524485120.

The previous prime is 2002349529139. The next prime is 2002349529221. The reversal of 2002349529180 is 819259432002.

2002349529180 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 3 + 49 + 529 + 1 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2002349529139) and next prime (2002349529221).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 133866262 + ... + 133881218.

It is an arithmetic number, because the mean of its divisors is an integer number (14178030048).

Almost surely, 22002349529180 is an apocalyptic number.

2002349529180 is a gapful number since it is divisible by the number (20) 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 2002349529180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083272653824).

2002349529180 is an abundant number, since it is smaller than the sum of its proper divisors (6164195778468).

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

2002349529180 is a wasteful number, since it uses less digits than its factorization.

2002349529180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2002349529180 in words is "two trillion, two billion, three hundred forty-nine million, five hundred twenty-nine thousand, one hundred eighty".