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90665425449 = 3229234612
BaseRepresentation
bin101010001110000010…
…1001001101000101001
322200000121222211020100
41110130011021220221
52441140322103244
6105352350420013
76356526254304
oct1243405115051
9280017884210
1090665425449
11354a62a6085
12156a3801609
13871b947451
144561435b3b
1525599beb69
hex151c149a29

90665425449 has 27 divisors (see below), whose sum is σ = 135671993509. Its totient is φ = 58342492320.

The previous prime is 90665425429. The next prime is 90665425469. The reversal of 90665425449 is 94452456609.

The square root of 90665425449 is 301107.

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

90665425449 is a `hidden beast` number, since 9 + 0 + 6 + 6 + 542 + 54 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (90665425429) and next prime (90665425469).

It can be written as a sum of positive squares in 4 ways, for example, as 7928655849 + 82736769600 = 89043^2 + 287640^2 .

It is not a de Polignac number, because 90665425449 - 227 = 90531207721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90665425395 and 90665425404.

It is not an unprimeable number, because it can be changed into a prime (90665425429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26194579 + ... + 26198039.

Almost surely, 290665425449 is an apocalyptic number.

90665425449 is the 301107-th square number.

90665425449 is the 150554-th centered octagonal number.

It is an amenable number.

90665425449 is a deficient number, since it is larger than the sum of its proper divisors (45006568060).

90665425449 is an frugal number, since it uses more digits than its factorization.

90665425449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 90665425449 in words is "ninety billion, six hundred sixty-five million, four hundred twenty-five thousand, four hundred forty-nine".

Divisors: 1 3 9 29 87 261 841 2523 3461 7569 10383 31149 100369 301107 903321 2910701 8732103 11978521 26196309 35935563 107806689 347377109 1042131327 3126393981 10073936161 30221808483 90665425449