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90225630242627 = 1143394673404531
BaseRepresentation
bin10100100000111101001010…
…101000111110011101000011
3102211110111010022012012010012
4110200331022220332131003
543311224042320231002
6515521025440455135
725001405141061245
oct2440751250763503
9384414108165105
1090225630242627
1126826525104a60
12a1523b901a4ab
133b4631829a239
14183cd2db28095
15a66e97eb6d52
hex520f4aa3e743

90225630242627 has 16 divisors (see below), whose sum is σ = 98471956141440. Its totient is φ = 81986645260800.

The previous prime is 90225630242599. The next prime is 90225630242651. The reversal of 90225630242627 is 72624203652209.

It is a cyclic number.

It is not a de Polignac number, because 90225630242627 - 214 = 90225630226243 is a prime.

It is a super-2 number, since 2×902256302426272 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90225630542627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222835352 + ... + 223239882.

It is an arithmetic number, because the mean of its divisors is an integer number (6154497258840).

Almost surely, 290225630242627 is an apocalyptic number.

90225630242627 is a deficient number, since it is larger than the sum of its proper divisors (8246325898813).

90225630242627 is a wasteful number, since it uses less digits than its factorization.

90225630242627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413554.

The product of its (nonzero) digits is 4354560, while the sum is 50.

The spelling of 90225630242627 in words is "ninety trillion, two hundred twenty-five billion, six hundred thirty million, two hundred forty-two thousand, six hundred twenty-seven".

Divisors: 1 11 4339 4673 47729 51403 404531 4449841 20276147 223037617 1755260009 1890373363 19307860099 20794106993 8202330022057 90225630242627