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2190331400085 = 325173373754297
BaseRepresentation
bin11111110111111001111…
…011001100111110010101
321202101121221221202210100
4133313321323030332111
5241341244314300320
64354120243244313
7314150311466103
oct37677173147625
97671557852710
102190331400085
11774a06a78844
122b4601679699
1312b7167391ba
1478026836c73
153be97706790
hex1fdf9eccf95

2190331400085 has 48 divisors (see below), whose sum is σ = 3828762338544. Its totient is φ = 1158309006336.

The previous prime is 2190331400077. The next prime is 2190331400099. The reversal of 2190331400085 is 5800041330912.

2190331400085 is a `hidden beast` number, since 219 + 0 + 3 + 31 + 400 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34385397489 + 2155946002596 = 185433^2 + 1468314^2 .

It is not a de Polignac number, because 2190331400085 - 23 = 2190331400077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2526657 + ... + 3280953.

It is an arithmetic number, because the mean of its divisors is an integer number (79765882053).

Almost surely, 22190331400085 is an apocalyptic number.

It is an amenable number.

2190331400085 is a deficient number, since it is larger than the sum of its proper divisors (1638430938459).

2190331400085 is a wasteful number, since it uses less digits than its factorization.

2190331400085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754854 (or 754851 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 2190331400085 its reverse (5800041330912), we get a palindrome (7990372730997).

The spelling of 2190331400085 in words is "two trillion, one hundred ninety billion, three hundred thirty-one million, four hundred thousand, eighty-five".

Divisors: 1 3 5 9 15 45 173 373 519 865 1119 1557 1865 2595 3357 5595 7785 16785 64529 193587 322645 580761 754297 967935 2262891 2903805 3771485 6788673 11314455 33943365 130493381 281352781 391480143 652466905 844058343 1174440429 1406763905 1957400715 2532175029 4220291715 5872202145 12660875145 48674031113 146022093339 243370155565 438066280017 730110466695 2190331400085