Search a number
-
+
2044044709632 = 2836171016379
BaseRepresentation
bin11101101111101010100…
…011110000111100000000
321020102000222201221000000
4131233222203300330000
5231442200421202012
64203004324000000
7300451222234152
oct35575243607400
97212028657000
102044044709632
11718968a50062
12290196530000
1311a9a2590733
1470d0a2ccad2
1538284b1bddc
hex1dbea8f0f00

2044044709632 has 504 divisors, whose sum is σ = 6542359694640. Its totient is φ = 634820198400.

The previous prime is 2044044709579. The next prime is 2044044709643. The reversal of 2044044709632 is 2369074404402.

2044044709632 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 0 + 4 + 4 + 7 + 0 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320430219 + ... + 320436597.

It is an arithmetic number, because the mean of its divisors is an integer number (12980872410).

Almost surely, 22044044709632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044044709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271179847320).

2044044709632 is an abundant number, since it is smaller than the sum of its proper divisors (4498314985008).

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

2044044709632 is an equidigital number, since it uses as much as digits as its factorization.

2044044709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2044044709632 in words is "two trillion, forty-four billion, forty-four million, seven hundred nine thousand, six hundred thirty-two".