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418499017225 = 52109211872
BaseRepresentation
bin1100001011100000111…
…11000011101000001001
31111000012220201210221221
412011300133003220021
523324041222022400
6520131130202041
742143536644562
oct6056037035011
91430186653857
10418499017225
1115153686a893
1269136583321
133060606b593
1416380dab169
15ad459c3c1a
hex61707c3a09

418499017225 has 27 divisors (see below), whose sum is σ = 524184970197. Its totient is φ = 331448194080.

The previous prime is 418499017217. The next prime is 418499017253. The reversal of 418499017225 is 522710994814.

The square root of 418499017225 is 646915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1534367241 + 416964649984 = 39171^2 + 645728^2 .

It is not a de Polignac number, because 418499017225 - 23 = 418499017217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 352568082 + ... + 352569268.

Almost surely, 2418499017225 is an apocalyptic number.

418499017225 is the 646915-th square number.

418499017225 is the 323458-th centered octagonal number.

It is an amenable number.

418499017225 is a deficient number, since it is larger than the sum of its proper divisors (105685952972).

418499017225 is an frugal number, since it uses more digits than its factorization.

418499017225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 418499017225 in words is "four hundred eighteen billion, four hundred ninety-nine million, seventeen thousand, two hundred twenty-five".

Divisors: 1 5 25 109 545 1187 2725 5935 11881 29675 59405 129383 297025 646915 1408969 3234575 7044845 14102747 35224225 70513735 153577621 352568675 767888105 3839440525 16739960689 83699803445 418499017225