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90869088025 = 52602892
BaseRepresentation
bin101010010100000111…
…0000011111100011001
322200112211012221202201
41110220032003330121
52442044441304100
6105424503530201
76364551334612
oct1245016037431
9280484187681
1090869088025
11355a025a861
121573ba59961
138751bb4851
1445804ccc09
15256c7ee36a
hex1528383f19

90869088025 has 9 divisors (see below), whose sum is σ = 112679538141. Its totient is φ = 72694064640.

The previous prime is 90869087977. The next prime is 90869088029. The reversal of 90869088025 is 52088096809.

The square root of 90869088025 is 301445.

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 51504940809 + 39364147216 = 226947^2 + 198404^2 .

It is not a de Polignac number, because 90869088025 - 211 = 90869085977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90869088029) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1477081 + ... + 1537369.

Almost surely, 290869088025 is an apocalyptic number.

90869088025 is the 301445-th square number.

90869088025 is the 150723-rd centered octagonal number.

It is an amenable number.

90869088025 is a deficient number, since it is larger than the sum of its proper divisors (21810450116).

90869088025 is an frugal number, since it uses more digits than its factorization.

90869088025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120588 (or 60294 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 90869088025 in words is "ninety billion, eight hundred sixty-nine million, eighty-eight thousand, twenty-five".

Divisors: 1 5 25 60289 301445 1507225 3634763521 18173817605 90869088025