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90378488225 = 5233710727417
BaseRepresentation
bin101010000101011111…
…0100100100110100001
322122021122001220100202
41110022332210212201
52440043343110400
6105304100354545
76346443321524
oct1241276444641
9278248056322
1090378488225
1135369333983
12156236a5a55
1386a43712cc
1445352a2bbb
15253e6e14d5
hex150afa49a1

90378488225 has 12 divisors (see below), whose sum is σ = 112401885804. Its totient is φ = 72088235520.

The previous prime is 90378488219. The next prime is 90378488227. The reversal of 90378488225 is 52288487309.

It can be written as a sum of positive squares in 6 ways, for example, as 12150873361 + 78227614864 = 110231^2 + 279692^2 .

It is not a de Polignac number, because 90378488225 - 236 = 21659011489 is a prime.

It is a super-2 number, since 2×903784882252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90378488227) 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 11 ways as a sum of consecutive naturals, for example, 5355284 + ... + 5372133.

It is an arithmetic number, because the mean of its divisors is an integer number (9366823817).

Almost surely, 290378488225 is an apocalyptic number.

It is an amenable number.

90378488225 is a deficient number, since it is larger than the sum of its proper divisors (22023397579).

90378488225 is a wasteful number, since it uses less digits than its factorization.

90378488225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10727764 (or 10727759 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 90378488225 in words is "ninety billion, three hundred seventy-eight million, four hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 337 1685 8425 10727417 53637085 268185425 3615139529 18075697645 90378488225