Search a number
-
+
5060416000 = 2953372137
BaseRepresentation
bin1001011011001111…
…11101001000000000
3111001200001202201211
410231213331020000
540330431303000
62154050135504
7236254553263
oct45547751000
914050052654
105060416000
112167522492
12b92881594
13628522cc3
1436010acda
151e93dc7ba
hex12d9fd200

5060416000 has 160 divisors (see below), whose sum is σ = 12965567472. Its totient is φ = 1968537600.

The previous prime is 5060415967. The next prime is 5060416007. The reversal of 5060416000 is 6140605.

It can be written as a sum of positive squares in 8 ways, for example, as 74926336 + 4985489664 = 8656^2 + 70608^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5060416007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2366932 + ... + 2369068.

Almost surely, 25060416000 is an apocalyptic number.

5060416000 is a gapful number since it is divisible by the number (50) 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 5060416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482783736).

5060416000 is an abundant number, since it is smaller than the sum of its proper divisors (7905151472).

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

5060416000 is an equidigital number, since it uses as much as digits as its factorization.

5060416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5060416000 is about 71136.6009871149. The cubic root of 5060416000 is about 1716.8357182101.

Adding to 5060416000 its reverse (6140605), we get a palindrome (5066556605).

The spelling of 5060416000 in words is "five billion, sixty million, four hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 185 200 250 256 296 320 370 400 500 512 592 640 740 800 925 1000 1184 1280 1480 1600 1850 2000 2137 2368 2560 2960 3200 3700 4000 4274 4625 4736 5920 6400 7400 8000 8548 9250 9472 10685 11840 12800 14800 16000 17096 18500 18944 21370 23680 29600 32000 34192 37000 42740 47360 53425 59200 64000 68384 74000 79069 85480 94720 106850 118400 136768 148000 158138 170960 213700 236800 267125 273536 296000 316276 341920 395345 427400 473600 534250 547072 592000 632552 683840 790690 854800 1068500 1094144 1184000 1265104 1367680 1581380 1709600 1976725 2137000 2368000 2530208 2735360 3162760 3419200 3953450 4274000 5060416 5470720 6325520 6838400 7906900 8548000 9883625 10120832 12651040 13676800 15813800 17096000 19767250 20241664 25302080 27353600 31627600 34192000 39534500 40483328 50604160 63255200 68384000 79069000 101208320 126510400 136768000 158138000 202416640 253020800 316276000 506041600 632552000 1012083200 1265104000 2530208000 5060416000