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2044408882626 = 23211421121320219
BaseRepresentation
bin11101110000000000010…
…000111110010111000010
321020102222100222211102200
4131300000100332113002
5231443422133221001
64203104413254030
7300463233531045
oct35600020762702
97212870884380
102044408882626
11719035575680
12290278494316
1311aa2cb69a06
1470d42808c5c
15382a6aa5086
hex1dc0043e5c2

2044408882626 has 96 divisors (see below), whose sum is σ = 4847950111680. Its totient is φ = 617506243200.

The previous prime is 2044408882591. The next prime is 2044408882627. The reversal of 2044408882626 is 6262888044402.

2044408882626 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 4 + 0 + 8 + 8 + 8 + 2 + 626 = 666.

It is not an unprimeable number, because it can be changed into a prime (2044408882627) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 101103145 + ... + 101123363.

It is an arithmetic number, because the mean of its divisors is an integer number (50499480330).

Almost surely, 22044408882626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044408882626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423975055840).

2044408882626 is an abundant number, since it is smaller than the sum of its proper divisors (2803541229054).

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

2044408882626 is a wasteful number, since it uses less digits than its factorization.

2044408882626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21872 (or 21869 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 2044408882626 in words is "two trillion, forty-four billion, four hundred eight million, eight hundred eighty-two thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 421 842 1213 1263 2426 2526 3639 3789 4631 7278 7578 9262 10917 13343 13893 20219 21834 26686 27786 40029 40438 41679 60657 80058 83358 120087 121314 181971 222409 240174 363942 444818 510673 667227 1021346 1334454 1532019 2001681 3064038 4003362 4596057 5617403 8512199 9192114 11234806 16852209 17024398 24525647 25536597 33704418 49051294 50556627 51073194 73576941 76609791 93634189 101113254 147153882 153219582 187268378 220730823 269782117 280902567 441461646 539564234 561805134 809346351 842707701 1618692702 1685415402 2428039053 4856078106 10325297387 20650594774 30975892161 61951784322 92927676483 113578271257 185855352966 227156542514 340734813771 681469627542 1022204441313 2044408882626