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5104351000 = 235373312203
BaseRepresentation
bin1001100000011111…
…00011011100011000
3111011201201220020001
410300033203130120
540423203213000
62202255542344
7240330160540
oct46017433430
914151656201
105104351000
11218a300501
12ba552a9b4
13634666948
14365ca6320
151ed1ba46a
hex1303e3718

5104351000 has 128 divisors (see below), whose sum is σ = 13697948160. Its totient is φ = 1743984000.

The previous prime is 5104350959. The next prime is 5104351001. The reversal of 5104351000 is 1534015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104351001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315899 + ... + 2318101.

It is an arithmetic number, because the mean of its divisors is an integer number (107015220).

Almost surely, 25104351000 is an apocalyptic number.

5104351000 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 5104351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848974080).

5104351000 is an abundant number, since it is smaller than the sum of its proper divisors (8593597160).

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

5104351000 is a wasteful number, since it uses less digits than its factorization.

5104351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5104351000 is about 71444.7408841267. The cubic root of 5104351000 is about 1721.7899834836.

Adding to 5104351000 its reverse (1534015), we get a palindrome (5105885015).

The spelling of 5104351000 in words is "five billion, one hundred four million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 331 350 500 662 700 875 1000 1324 1400 1655 1750 2203 2317 2648 3310 3500 4406 4634 6620 7000 8275 8812 9268 11015 11585 13240 15421 16550 17624 18536 22030 23170 30842 33100 41375 44060 46340 55075 57925 61684 66200 77105 82750 88120 92680 110150 115850 123368 154210 165500 220300 231700 275375 289625 308420 331000 385525 440600 463400 550750 579250 616840 729193 771050 1101500 1158500 1458386 1542100 1927625 2203000 2317000 2916772 3084200 3645965 3855250 5104351 5833544 7291930 7710500 10208702 14583860 15421000 18229825 20417404 25521755 29167720 36459650 40834808 51043510 72919300 91149125 102087020 127608775 145838600 182298250 204174040 255217550 364596500 510435100 638043875 729193000 1020870200 1276087750 2552175500 5104351000