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6004130000 = 24541154583
BaseRepresentation
bin1011001011101111…
…11100000011010000
3120111102211101222012
411211313330003100
544244024130000
62431441202052
7301534156121
oct54567740320
916442741865
106004130000
1126011a1810
1211b6930328
13748bb385b
1440d5a6048
152521a1735
hex165dfc0d0

6004130000 has 100 divisors (see below), whose sum is σ = 15858398688. Its totient is φ = 2183280000.

The previous prime is 6004129993. The next prime is 6004130053. The reversal of 6004130000 is 314006.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 82709 + ... + 137291.

Almost surely, 26004130000 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 6004130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929199344).

6004130000 is an abundant number, since it is smaller than the sum of its proper divisors (9854268688).

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

6004130000 is a wasteful number, since it uses less digits than its factorization.

6004130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54622 (or 54601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6004130000 is about 77486.3213735173. The cubic root of 6004130000 is about 1817.5374254318.

Adding to 6004130000 its reverse (314006), we get a palindrome (6004444006).

The spelling of 6004130000 in words is "six billion, four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 54583 55000 109166 110000 218332 272915 436664 545830 600413 873328 1091660 1200826 1364575 2183320 2401652 2729150 3002065 4366640 4803304 5458300 6004130 6822875 9606608 10916600 12008260 13645750 15010325 21833200 24016520 27291500 30020650 34114375 48033040 54583000 60041300 68228750 75051625 109166000 120082600 136457500 150103250 240165200 272915000 300206500 375258125 545830000 600413000 750516250 1200826000 1501032500 3002065000 6004130000