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90929585700 = 223252101032873
BaseRepresentation
bin101010010101111010…
…0110101111000100100
322200201001001112222100
41110223310311320210
52442210433220300
6105434504332100
76366214503642
oct1245364657044
9280631045870
1090929585700
1135621420638
1215758174030
1387615a71a5
14458855a192
152572c9e700
hex152bd35e24

90929585700 has 54 divisors (see below), whose sum is σ = 285013737554. Its totient is φ = 24247889280.

The previous prime is 90929585599. The next prime is 90929585701. The reversal of 90929585700 is 758592909.

It can be written as a sum of positive squares in 3 ways, for example, as 22020185664 + 68909400036 = 148392^2 + 262506^2 .

It is not an unprimeable number, because it can be changed into a prime (90929585701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50515537 + ... + 50517336.

Almost surely, 290929585700 is an apocalyptic number.

90929585700 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90929585700 is an abundant number, since it is smaller than the sum of its proper divisors (194084151854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90929585700 is a wasteful number, since it uses less digits than its factorization.

90929585700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101032893 (or 101032883 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 90929585700 in words is "ninety billion, nine hundred twenty-nine million, five hundred eighty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 101032873 202065746 303098619 404131492 505164365 606197238 909295857 1010328730 1212394476 1515493095 1818591714 2020657460 2525821825 3030986190 3637183428 4546479285 5051643650 6061972380 7577465475 9092958570 10103287300 15154930950 18185917140 22732396425 30309861900 45464792850 90929585700