Search a number
-
+
20412044660 = 2257219257697
BaseRepresentation
bin10011000000101001…
…110001010101110100
31221200112212022021002
4103000221301111310
5313300440412120
613213244542432
71321554342200
oct230051612564
957615768232
1020412044660
1187250812a7
123b57b51a18
131c03b75647
14db8d03b00
157e700d375
hex4c0a71574

20412044660 has 108 divisors (see below), whose sum is σ = 52627153572. Its totient is φ = 6629962752.

The previous prime is 20412044629. The next prime is 20412044701. The reversal of 20412044660 is 6644021402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14583943696 + 5828100964 = 120764^2 + 76342^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324932 + ... + 382628.

It is an arithmetic number, because the mean of its divisors is an integer number (487288459).

Almost surely, 220412044660 is an apocalyptic number.

20412044660 is a gapful number since it is divisible by the number (20) 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 20412044660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26313576786).

20412044660 is an abundant number, since it is smaller than the sum of its proper divisors (32215108912).

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

20412044660 is a wasteful number, since it uses less digits than its factorization.

20412044660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57758 (or 57730 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 20412044660 in words is "twenty billion, four hundred twelve million, forty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 361 380 490 532 665 722 931 980 1330 1444 1805 1862 2527 2660 3610 3724 4655 5054 7220 9310 10108 12635 17689 18620 25270 35378 50540 57697 70756 88445 115394 176890 230788 288485 353780 403879 576970 807758 1096243 1153940 1615516 2019395 2192486 2827153 4038790 4384972 5481215 5654306 7673701 8077580 10962430 11308612 14135765 15347402 20828617 21924860 28271530 30694804 38368505 41657234 53715907 56543060 76737010 83314468 104143085 107431814 145800319 153474020 208286170 214863628 268579535 291600638 416572340 537159070 583201276 729001595 1020602233 1074318140 1458003190 2041204466 2916006380 4082408932 5103011165 10206022330 20412044660