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5200215180 = 22351392772251
BaseRepresentation
bin1001101011111010…
…01111110010001100
3111102102010022011020
410311331033302030
541122223341210
62220002354140
7242603046126
oct46575176214
914372108136
105200215180
1122294276a6
12101165b950
1364b48cb04
143748dc216
15206804770
hex135f4fc8c

5200215180 has 96 divisors (see below), whose sum is σ = 14724837120. Its totient is φ = 1371168000.

The previous prime is 5200215173. The next prime is 5200215193. The reversal of 5200215180 is 815120025.

It is a self number, because there is not a number n which added to its sum of digits gives 5200215180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2309055 + ... + 2311305.

It is an arithmetic number, because the mean of its divisors is an integer number (153383720).

Almost surely, 25200215180 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 5200215180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362418560).

5200215180 is an abundant number, since it is smaller than the sum of its proper divisors (9524621940).

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

5200215180 is a wasteful number, since it uses less digits than its factorization.

5200215180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 5200215180 is about 72112.5174986978. The cubic root of 5200215180 is about 1732.5021074459.

The spelling of 5200215180 in words is "five billion, two hundred million, two hundred fifteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 277 278 417 554 556 695 831 834 1108 1385 1390 1662 1668 2085 2251 2770 2780 3324 4155 4170 4502 5540 6753 8310 8340 9004 11255 13506 16620 22510 27012 33765 38503 45020 67530 77006 115509 135060 154012 192515 231018 312889 385030 462036 577545 623527 625778 770060 938667 1155090 1247054 1251556 1564445 1870581 1877334 2310180 2494108 3117635 3128890 3741162 3754668 4693335 6235270 6257780 7482324 9352905 9386670 12470540 18705810 18773340 37411620 86670253 173340506 260010759 346681012 433351265 520021518 866702530 1040043036 1300053795 1733405060 2600107590 5200215180