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90207491985 = 325131011526741
BaseRepresentation
bin101010000000011001…
…0010001011110010001
322121211201022101121200
41110000302101132101
52434221104220420
6105235111341413
76342266013312
oct1240062213621
9277751271550
1090207491985
1135290860976
1215596381869
138677b006c0
14451a6b0609
15252e6b5b90
hex1500c91791

90207491985 has 48 divisors (see below), whose sum is σ = 170054630928. Its totient is φ = 43970112000.

The previous prime is 90207491981. The next prime is 90207491989. The reversal of 90207491985 is 58919470209.

It is an interprime number because it is at equal distance from previous prime (90207491981) and next prime (90207491989).

It can be written as a sum of positive squares in 8 ways, for example, as 4637201409 + 85570290576 = 68097^2 + 292524^2 .

It is not a de Polignac number, because 90207491985 - 22 = 90207491981 is a prime.

It is a super-2 number, since 2×902074919852 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90207491981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704286 + ... + 822455.

It is an arithmetic number, because the mean of its divisors is an integer number (3542804811).

Almost surely, 290207491985 is an apocalyptic number.

It is an amenable number.

90207491985 is a deficient number, since it is larger than the sum of its proper divisors (79847138943).

90207491985 is a wasteful number, since it uses less digits than its factorization.

90207491985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526866 (or 1526863 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 90207491985 in words is "ninety billion, two hundred seven million, four hundred ninety-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 101 117 195 303 505 585 909 1313 1515 3939 4545 6565 11817 19695 59085 1526741 4580223 7633705 13740669 19847633 22901115 59542899 68703345 99238165 154200841 178628697 297714495 462602523 771004205 893143485 1387807569 2004610933 2313012615 6013832799 6939037845 10023054665 18041498397 30069163995 90207491985