Search a number
-
+
9040900077 = 3311229132929
BaseRepresentation
bin10000110101110000…
…10010111111101101
3212100002001022101000
420122320102333231
5122003432300302
64053041510513
7440020245156
oct103270227755
925302038330
109040900077
11391a397050
121903942439
13b110a0721
1461aa2092d
1537daaa31c
hex21ae12fed

9040900077 has 32 divisors (see below), whose sum is σ = 14675472000. Its totient is φ = 5455365120.

The previous prime is 9040900061. The next prime is 9040900079. The reversal of 9040900077 is 7700090409.

It is not a de Polignac number, because 9040900077 - 24 = 9040900061 is a prime.

It is a super-3 number, since 3×90409000773 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9040900079) 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 31 ways as a sum of consecutive naturals, for example, 1549 + ... + 134477.

It is an arithmetic number, because the mean of its divisors is an integer number (458608500).

Almost surely, 29040900077 is an apocalyptic number.

It is an amenable number.

9040900077 is a deficient number, since it is larger than the sum of its proper divisors (5634571923).

9040900077 is a wasteful number, since it uses less digits than its factorization.

9040900077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133178 (or 133172 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 9040900077 is about 95083.6477897225. The cubic root of 9040900077 is about 2083.2300096782.

The spelling of 9040900077 in words is "nine billion, forty million, nine hundred thousand, seventy-seven".

Divisors: 1 3 9 11 27 33 99 229 297 687 2061 2519 6183 7557 22671 68013 132929 398787 1196361 1462219 3589083 4386657 13159971 30440741 39479913 91322223 273966669 334848151 821900007 1004544453 3013633359 9040900077