Search a number
-
+
2003274104832 = 2163471113229
BaseRepresentation
bin11101001001101100011…
…100010000000000000000
321002111210121122121110000
4131021230130100000000
5230310201132323312
64132142540240000
7264505666636140
oct35115434200000
97074717577400
102003274104832
11702647009250
122842b8540000
13116ba597ac00
146cd5d648920
153719a667adc
hex1d26c710000

2003274104832 has 2040 divisors, whose sum is σ = 8358638840640. Its totient is φ = 463743221760.

The previous prime is 2003274104747. The next prime is 2003274104869. The reversal of 2003274104832 is 2384014723002.

It is a happy number.

2003274104832 is a `hidden beast` number, since 200 + 3 + 2 + 7 + 410 + 4 + 8 + 32 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69078417394 + ... + 69078417422.

Almost surely, 22003274104832 is an apocalyptic number.

2003274104832 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 2003274104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179319420320).

2003274104832 is an abundant number, since it is smaller than the sum of its proper divisors (6355364735808).

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

2003274104832 is an equidigital number, since it uses as much as digits as its factorization.

2003274104832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 2003274104832 its reverse (2384014723002), we get a palindrome (4387288827834).

The spelling of 2003274104832 in words is "two trillion, three billion, two hundred seventy-four million, one hundred four thousand, eight hundred thirty-two".