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5020022135200 = 255247831608569
BaseRepresentation
bin100100100001101000010…
…1000101101100110100000
3122202220112222021222110011
41021003100220231212200
51124222001131311300
614402055532214304
71025453554050142
oct111032050554640
918686488258404
105020022135200
111665a85695036
12690ab730a394
132a550321c147
14134d82990c92
158a8b03b0eba
hex490d0a2d9a0

5020022135200 has 144 divisors (see below), whose sum is σ = 12666678030720. Its totient is φ = 1941605918720.

The previous prime is 5020022135173. The next prime is 5020022135201. The reversal of 5020022135200 is 25312200205.

It is not an unprimeable number, because it can be changed into a prime (5020022135201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2316516 + ... + 3925084.

It is an arithmetic number, because the mean of its divisors is an integer number (87963041880).

Almost surely, 25020022135200 is an apocalyptic number.

5020022135200 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 5020022135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333339015360).

5020022135200 is an abundant number, since it is smaller than the sum of its proper divisors (7646655895520).

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

5020022135200 is a wasteful number, since it uses less digits than its factorization.

5020022135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608719 (or 1608706 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 5020022135200 its reverse (25312200205), we get a palindrome (5045334335405).

The spelling of 5020022135200 in words is "five trillion, twenty billion, twenty-two million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 83 94 100 160 166 188 200 235 332 376 400 415 470 664 752 800 830 940 1175 1328 1504 1660 1880 2075 2350 2656 3320 3760 3901 4150 4700 6640 7520 7802 8300 9400 13280 15604 16600 18800 19505 31208 33200 37600 39010 62416 66400 78020 97525 124832 156040 195050 312080 390100 624160 780200 1560400 1608569 3120800 3217138 6434276 8042845 12868552 16085690 25737104 32171380 40214225 51474208 64342760 75602743 80428450 128685520 133511227 151205486 160856900 257371040 267022454 302410972 321713800 378013715 534044908 604821944 643427600 667556135 756027430 1068089816 1209643888 1286855200 1335112270 1512054860 1890068575 2136179632 2419287776 2670224540 3024109720 3337780675 3780137150 4272359264 5340449080 6048219440 6275027669 6675561350 7560274300 10680898160 12096438880 12550055338 13351122700 15120548600 21361796320 25100110676 26702245400 30241097200 31375138345 50200221352 53404490800 60482194400 62750276690 100400442704 106808981600 125500553380 156875691725 200800885408 251001106760 313751383450 502002213520 627502766900 1004004427040 1255005533800 2510011067600 5020022135200