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5115605100 = 2235286319759
BaseRepresentation
bin1001100001110100…
…11111000001101100
3111012111220122221120
410300322133001230
540434043330400
62203341100540
7240524632404
oct46072370154
914174818846
105115605100
112195697911
12ba9257750
13636aa7288
14367595804
151ee18eca0
hex130e9f06c

5115605100 has 72 divisors (see below), whose sum is σ = 14819051520. Its totient is φ = 1362511680.

The previous prime is 5115605093. The next prime is 5115605149. The reversal of 5115605100 is 15065115.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249021 + ... + 268779.

It is an arithmetic number, because the mean of its divisors is an integer number (205820160).

Almost surely, 25115605100 is an apocalyptic number.

5115605100 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 5115605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409525760).

5115605100 is an abundant number, since it is smaller than the sum of its proper divisors (9703446420).

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

5115605100 is a wasteful number, since it uses less digits than its factorization.

5115605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20639 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 5115605100 is about 71523.4583895382. The cubic root of 5115605100 is about 1723.0544585096.

The spelling of 5115605100 in words is "five billion, one hundred fifteen million, six hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 863 1726 2589 3452 4315 5178 8630 10356 12945 17260 19759 21575 25890 39518 43150 51780 59277 64725 79036 86300 98795 118554 129450 197590 237108 258900 296385 395180 493975 592770 987950 1185540 1481925 1975900 2963850 5927700 17052017 34104034 51156051 68208068 85260085 102312102 170520170 204624204 255780255 341040340 426300425 511560510 852600850 1023121020 1278901275 1705201700 2557802550 5115605100