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290090500700 = 22527511131771
BaseRepresentation
bin1000011100010101011…
…11011100001001011100
31000201202220110022020112
410032022233130021130
514223101132010300
6341133222105152
726646466400000
oct4161257341134
91021686408215
10290090500700
11102032585860
124827a87b1b8
1321480b0a260
141007d01a700
15782c72ae35
hex438abdc25c

290090500700 has 864 divisors, whose sum is σ = 926418705408. Its totient is φ = 77446656000.

The previous prime is 290090500631. The next prime is 290090500709. The reversal of 290090500700 is 7005090092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290090500709) 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 287 ways as a sum of consecutive naturals, for example, 4085781665 + ... + 4085781735.

It is an arithmetic number, because the mean of its divisors is an integer number (1072243872).

Almost surely, 2290090500700 is an apocalyptic number.

290090500700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290090500700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463209352704).

290090500700 is an abundant number, since it is smaller than the sum of its proper divisors (636328204708).

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

290090500700 is a wasteful number, since it uses less digits than its factorization.

290090500700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

Adding to 290090500700 its reverse (7005090092), we get a palindrome (297095590792).

The spelling of 290090500700 in words is "two hundred ninety billion, ninety million, five hundred thousand, seven hundred".