Search a number
-
+
2989470273504 = 2531113499119
BaseRepresentation
bin101011100000001010010…
…100000100111111100000
3101120210100022201202011220
4223200022110010333200
5342434413342223004
610205202122535040
7425660601026031
oct53401224047740
911523308652156
102989470273504
11a52911041380
12403467667480
13188ba1180000
14a4996680a88
1552b6a0e9dd9
hex2b80a504fe0

2989470273504 has 240 divisors, whose sum is σ = 9274220686080. Its totient is φ = 836207024640.

The previous prime is 2989470273487. The next prime is 2989470273511. The reversal of 2989470273504 is 4053720749892.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30110857 + ... + 30209975.

It is an arithmetic number, because the mean of its divisors is an integer number (38642586192).

Almost surely, 22989470273504 is an apocalyptic number.

2989470273504 is a gapful number since it is divisible by the number (24) 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 2989470273504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637110343040).

2989470273504 is an abundant number, since it is smaller than the sum of its proper divisors (6284750412576).

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

2989470273504 is an equidigital number, since it uses as much as digits as its factorization.

2989470273504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99195 (or 99148 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 2989470273504 in words is "two trillion, nine hundred eighty-nine billion, four hundred seventy million, two hundred seventy-three thousand, five hundred four".