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5210512353220 = 22517101641236713
BaseRepresentation
bin100101111010010101010…
…1111001110011111000100
3200110010020120020200112011
41023310222233032133010
51140332112130300340
615025402030504004
71045306232145226
oct113645257163704
920403216220464
105210512353220
111729847427289
127019ba065004
132ba47028c695
14140293a7a416
159080da0c0ea
hex4bd2abce7c4

5210512353220 has 96 divisors (see below), whose sum is σ = 11718740559456. Its totient is φ = 1939144704000.

The previous prime is 5210512353209. The next prime is 5210512353229. The reversal of 5210512353220 is 223532150125.

It can be written as a sum of positive squares in 16 ways, for example, as 537444407236 + 4673067945984 = 733106^2 + 2161728^2 .

It is not an unprimeable number, because it can be changed into a prime (5210512353229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21893584 + ... + 22130296.

It is an arithmetic number, because the mean of its divisors is an integer number (122070214161).

Almost surely, 25210512353220 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 5210512353220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859370279728).

5210512353220 is an abundant number, since it is smaller than the sum of its proper divisors (6508228206236).

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

5210512353220 is a wasteful number, since it uses less digits than its factorization.

5210512353220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237481 (or 237479 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 5210512353220 in words is "five trillion, two hundred ten billion, five hundred twelve million, three hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 641 1010 1282 1717 2020 2564 3205 3434 6410 6868 8585 10897 12820 17170 21794 34340 43588 54485 64741 108970 129482 217940 236713 258964 323705 473426 647410 946852 1100597 1183565 1294820 2201194 2367130 4024121 4402388 4734260 5502985 8048242 11005970 16096484 20120605 22011940 23908013 40241210 47816026 80482420 95632052 119540065 151733033 239080130 303466066 406436221 478160260 606932132 758665165 812872442 1517330330 1625744884 2032181105 2579461561 3034660660 4064362210 5158923122 8128724420 10317846244 12897307805 15325036333 25794615610 30650072666 51589231220 61300145332 76625181665 153250363330 260525617661 306500726660 521051235322 1042102470644 1302628088305 2605256176610 5210512353220