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205125355204 = 2271141122913217
BaseRepresentation
bin1011111100001001101…
…1001000011011000100
3201121110112112201001221
42333002123020123010
511330044042331304
6234122220130124
720551124515360
oct2770233103304
9647415481057
10205125355204
1179aa1a08450
1233908096944
131646012b333
149cdca942a0
1555083dd054
hex2fc26c86c4

205125355204 has 96 divisors (see below), whose sum is σ = 458869743360. Its totient is φ = 77900390400.

The previous prime is 205125355187. The next prime is 205125355223. The reversal of 205125355204 is 402553521502.

It is a super-2 number, since 2×2051253552042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205125355204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15513204 + ... + 15526420.

It is an arithmetic number, because the mean of its divisors is an integer number (4779893160).

Almost surely, 2205125355204 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 205125355204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229434871680).

205125355204 is an abundant number, since it is smaller than the sum of its proper divisors (253744388156).

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

205125355204 is a wasteful number, since it uses less digits than its factorization.

205125355204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14509 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

Adding to 205125355204 its reverse (402553521502), we get a palindrome (607678876706).

The spelling of 205125355204 in words is "two hundred five billion, one hundred twenty-five million, three hundred fifty-five thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1229 1804 2458 3157 4916 6314 8603 12628 13217 13519 17206 26434 27038 34412 50389 52868 54076 92519 94633 100778 145387 185038 189266 201556 290774 352723 370076 378532 541897 554279 581548 705446 1017709 1083794 1108558 1410892 2035418 2167588 2217116 3793279 3879953 4070836 5960867 7586558 7759906 11921734 15173116 15519812 16243693 23843468 32487386 41726069 64974772 83452138 113705851 166904276 178680623 227411702 357361246 454823404 665991413 714722492 1250764361 1331982826 2501528722 2663965652 4661939891 5003057444 7325905543 9323879782 14651811086 18647759564 29303622172 51281338801 102562677602 205125355204