Search a number
-
+
45135323255225 = 527257785374861
BaseRepresentation
bin10100100001100111000101…
…11010001101000110111001
312220210220011021121202201102
422100303202322031012321
521403444120223131400
6235554514203501145
712335630246354600
oct1220634272150671
9186726137552642
1045135323255225
1113421868336145
12508b6405277b5
131c25320342bc8
14b207c02d6a37
155341177ac9d5
hex290ce2e8d1b9

45135323255225 has 72 divisors (see below), whose sum is σ = 65295564988248. Its totient is φ = 30859663564800.

The previous prime is 45135323255177. The next prime is 45135323255249. The reversal of 45135323255225 is 52255232353154.

It can be written as a sum of positive squares in 12 ways, for example, as 2675985592336 + 42459337662889 = 1635844^2 + 6516083^2 .

It is not a de Polignac number, because 45135323255225 - 230 = 45134249513401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45135323255225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 602884295 + ... + 602959155.

It is an arithmetic number, because the mean of its divisors is an integer number (906882847059).

Almost surely, 245135323255225 is an apocalyptic number.

It is an amenable number.

45135323255225 is a deficient number, since it is larger than the sum of its proper divisors (20160241733023).

45135323255225 is a wasteful number, since it uses less digits than its factorization.

45135323255225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76315 (or 76303 counting only the distinct ones).

The product of its digits is 5400000, while the sum is 47.

The spelling of 45135323255225 in words is "forty-five trillion, one hundred thirty-five billion, three hundred twenty-three million, two hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 577 853 1225 2885 4039 4265 5971 14425 20195 21325 28273 29855 41797 74861 100975 141365 149275 208985 374305 492181 524027 706825 1044925 1871525 2460905 2620135 3445267 3668189 12304525 13100675 17226335 18340945 24116869 43194797 63856433 86131675 91704725 120584345 215973985 302363579 319282165 446995031 602921725 1079869925 1511817895 1596410825 2116545053 2234975155 3128965217 7559089475 10582725265 11174875775 15644826085 36845161841 52913626325 78224130425 184225809205 257916132887 921129046025 1289580664435 1805412930209 6447903322175 9027064651045 45135323255225