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505205268220 = 225472412230093
BaseRepresentation
bin1110101101000001001…
…01001001111011111100
31210022000121211201212101
413112200211021323330
531234130022040340
61024031010114444
751333312632422
oct7264045117374
91708017751771
10505205268220
11185290226564
1281ab427ba24
1338843689843
141a648679112
15d21cad4c9a
hex75a0949efc

505205268220 has 48 divisors (see below), whose sum is σ = 1088000419968. Its totient is φ = 196961725440.

The previous prime is 505205268199. The next prime is 505205268287. The reversal of 505205268220 is 22862502505.

It is a self number, because there is not a number n which added to its sum of digits gives 505205268220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888507 + ... + 1341586.

It is an arithmetic number, because the mean of its divisors is an integer number (22666675416).

Almost surely, 2505205268220 is an apocalyptic number.

It is an amenable number.

505205268220 is an abundant number, since it is smaller than the sum of its proper divisors (582795151748).

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

505205268220 is a wasteful number, since it uses less digits than its factorization.

505205268220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230390 (or 2230388 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 505205268220 in words is "five hundred five billion, two hundred five million, two hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 241 470 482 940 964 1205 2410 4820 11327 22654 45308 56635 113270 226540 2230093 4460186 8920372 11150465 22300930 44601860 104814371 209628742 419257484 524071855 537452413 1048143710 1074904826 2096287420 2149809652 2687262065 5374524130 10749048260 25260263411 50520526822 101041053644 126301317055 252602634110 505205268220