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5102216406200 = 2352792391351151
BaseRepresentation
bin100101000111111001111…
…0010111110010010111000
3200001202201020022120101102
41022033303302332102320
51132043314344444300
614503531552510532
71034423451610244
oct112176362762270
920052636276342
105102216406200
111697924168421
126a4a15b4b448
132b01a1b2aa64
14138d3cd15424
158cac13190d5
hex4a3f3cbe4b8

5102216406200 has 96 divisors (see below), whose sum is σ = 12063085056000. Its totient is φ = 2006619888000.

The previous prime is 5102216406193. The next prime is 5102216406211. The reversal of 5102216406200 is 26046122015.

It is a super-2 number, since 2×51022164062002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 3100625 + ... + 4451775.

It is an arithmetic number, because the mean of its divisors is an integer number (125657136000).

Almost surely, 25102216406200 is an apocalyptic number.

5102216406200 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 5102216406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031542528000).

5102216406200 is an abundant number, since it is smaller than the sum of its proper divisors (6960868649800).

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

5102216406200 is a wasteful number, since it uses less digits than its factorization.

5102216406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351485 (or 1351476 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 5102216406200 in words is "five trillion, one hundred two billion, two hundred sixteen million, four hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 239 316 395 478 632 790 956 1195 1580 1912 1975 2390 3160 3950 4780 5975 7900 9560 11950 15800 18881 23900 37762 47800 75524 94405 151048 188810 377620 472025 755240 944050 1351151 1888100 2702302 3776200 5404604 6755755 10809208 13511510 27023020 33778775 54046040 67557550 106740929 135115100 213481858 270230200 322925089 426963716 533704645 645850178 853927432 1067409290 1291700356 1614625445 2134818580 2583400712 2668523225 3229250890 4269637160 5337046450 6458501780 8073127225 10674092900 12917003560 16146254450 21348185800 25511082031 32292508900 51022164062 64585017800 102044328124 127555410155 204088656248 255110820310 510221640620 637777050775 1020443281240 1275554101550 2551108203100 5102216406200