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9990409149 = 327222653989
BaseRepresentation
bin10010100110111100…
…11000101110111101
3221210020201100221200
421103132120232331
5130430021043044
64331201050113
7502400035200
oct112336305675
927706640850
109990409149
114267364296
121b29926939
13c32a0cc06
146aab87937
153d7116369
hex253798bbd

9990409149 has 18 divisors (see below), whose sum is σ = 16786606590. Its totient is φ = 5708804976.

The previous prime is 9990409127. The next prime is 9990409157. The reversal of 9990409149 is 9419040999.

9990409149 is a `hidden beast` number, since 9 + 9 + 90 + 409 + 149 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6940056249 + 3050352900 = 83307^2 + 55230^2 .

It is not a de Polignac number, because 9990409149 - 215 = 9990376381 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9990409095 and 9990409104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990409199) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11326554 + ... + 11327435.

It is an arithmetic number, because the mean of its divisors is an integer number (932589255).

Almost surely, 29990409149 is an apocalyptic number.

It is an amenable number.

9990409149 is a deficient number, since it is larger than the sum of its proper divisors (6796197441).

9990409149 is a wasteful number, since it uses less digits than its factorization.

9990409149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22654009 (or 22653999 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 9990409149 is about 99952.0342414300. The cubic root of 9990409149 is about 2153.7457076506.

The spelling of 9990409149 in words is "nine billion, nine hundred ninety million, four hundred nine thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 22653989 67961967 158577923 203885901 475733769 1110045461 1427201307 3330136383 9990409149