Search a number
-
+
2409729912 = 23361014091
BaseRepresentation
bin1000111110100001…
…1000111101111000
320012221022222000000
42033220120331320
514413342324122
61035040513000
7113500236432
oct21750307570
96187288000
102409729912
111027258827
1257301b760
132c53145b5
1418c073652
15e18490ac
hex8fa18f78

2409729912 has 112 divisors (see below), whose sum is σ = 6843010680. Its totient is φ = 795096000.

The previous prime is 2409729901. The next prime is 2409729919. The reversal of 2409729912 is 2199279042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409729919) 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 27 ways as a sum of consecutive naturals, for example, 586987 + ... + 591077.

Almost surely, 22409729912 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 2409729912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421505340).

2409729912 is an abundant number, since it is smaller than the sum of its proper divisors (4433280768).

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

2409729912 is a wasteful number, since it uses less digits than its factorization.

2409729912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2409729912 is about 49088.9999083298. Note that the first 4 decimals coincide. The cubic root of 2409729912 is about 1340.6727727316.

The spelling of 2409729912 in words is "two billion, four hundred nine million, seven hundred twenty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 243 303 324 404 486 606 648 729 808 909 972 1212 1458 1818 1944 2424 2727 2916 3636 4091 5454 5832 7272 8181 8182 10908 12273 16362 16364 21816 24543 24546 32724 32728 36819 49086 49092 65448 73629 73638 98172 98184 110457 147258 147276 196344 220914 294516 294552 331371 413191 441828 589032 662742 826382 883656 994113 1239573 1325484 1652764 1988226 2479146 2650968 2982339 3305528 3718719 3976452 4958292 5964678 7437438 7952904 9916584 11156157 11929356 14874876 22312314 23858712 29749752 33468471 44624628 66936942 89249256 100405413 133873884 200810826 267747768 301216239 401621652 602432478 803243304 1204864956 2409729912