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5006159000 = 235331167967
BaseRepresentation
bin1001010100110001…
…11110110010011000
3110220212222020010022
410222120332302120
540223034042000
62144431210012
7235025435513
oct45230766230
913825866108
105006159000
112139934397
12b78676908
1361a20707b
14356c25d7a
151e4771585
hex12a63ec98

5006159000 has 128 divisors (see below), whose sum is σ = 12177285120. Its totient is φ = 1924272000.

The previous prime is 5006158973. The next prime is 5006159023. The reversal of 5006159000 is 9516005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5176517 + ... + 5177483.

It is an arithmetic number, because the mean of its divisors is an integer number (95135040).

Almost surely, 25006159000 is an apocalyptic number.

5006159000 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 5006159000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088642560).

5006159000 is an abundant number, since it is smaller than the sum of its proper divisors (7171126120).

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

5006159000 is a wasteful number, since it uses less digits than its factorization.

5006159000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 5006159000 is about 70754.2154221217. The cubic root of 5006159000 is about 1710.6777747086.

The spelling of 5006159000 in words is "five billion, six million, one hundred fifty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 167 200 248 250 310 334 500 620 668 775 835 967 1000 1240 1336 1550 1670 1934 3100 3340 3868 3875 4175 4835 5177 6200 6680 7736 7750 8350 9670 10354 15500 16700 19340 20708 20875 24175 25885 29977 31000 33400 38680 41416 41750 48350 51770 59954 83500 96700 103540 119908 120875 129425 149885 161489 167000 193400 207080 239816 241750 258850 299770 322978 483500 517700 599540 645956 647125 749425 807445 967000 1035400 1199080 1291912 1294250 1498850 1614890 2588500 2997700 3229780 3747125 4037225 5006159 5177000 5995400 6459560 7494250 8074450 10012318 14988500 16148900 20024636 20186125 25030795 29977000 32297800 40049272 40372250 50061590 80744500 100123180 125153975 161489000 200246360 250307950 500615900 625769875 1001231800 1251539750 2503079500 5006159000