Search a number
-
+
54013412000 = 255383162691
BaseRepresentation
bin110010010011011100…
…110100001010100000
312011102021202121212202
4302103130310022200
51341104413141000
640451410512332
73621334266242
oct622334641240
9164367677782
1054013412000
11209a8187979
12a574b956a8
13512a3a9022
142885776092
151611db8dd5
hexc937342a0

54013412000 has 96 divisors (see below), whose sum is σ = 134310705984. Its totient is φ = 21344928000.

The previous prime is 54013411987. The next prime is 54013412041. The reversal of 54013412000 is 21431045.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250655 + ... + 413345.

It is an arithmetic number, because the mean of its divisors is an integer number (1399069854).

Almost surely, 254013412000 is an apocalyptic number.

54013412000 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 54013412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67155352992).

54013412000 is an abundant number, since it is smaller than the sum of its proper divisors (80297293984).

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

54013412000 is a wasteful number, since it uses less digits than its factorization.

54013412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162799 (or 162781 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 54013412000 its reverse (21431045), we get a palindrome (54034843045).

The spelling of 54013412000 in words is "fifty-four billion, thirteen million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 664 800 830 1000 1328 1660 2000 2075 2656 3320 4000 4150 6640 8300 10375 13280 16600 20750 33200 41500 66400 83000 162691 166000 325382 332000 650764 813455 1301528 1626910 2603056 3253820 4067275 5206112 6507640 8134550 13015280 13503353 16269100 20336375 26030560 27006706 32538200 40672750 54013412 65076400 67516765 81345500 108026824 130152800 135033530 162691000 216053648 270067060 325382000 337583825 432107296 540134120 650764000 675167650 1080268240 1350335300 1687919125 2160536480 2700670600 3375838250 5401341200 6751676500 10802682400 13503353000 27006706000 54013412000