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9005300741 = 176112896737
BaseRepresentation
bin10000110001100000…
…11111110000000101
3212020121001200021002
420120300133300011
5121420324110431
64045330503045
7436105536053
oct103060376005
925217050232
109005300741
113901291808
1218b3a34a85
13b068b7c28
14615dd51d3
1537a8c73cb
hex218c1fc05

9005300741 has 16 divisors (see below), whose sum is σ = 9700294320. Its totient is φ = 8328929280.

The previous prime is 9005300737. The next prime is 9005300749. The reversal of 9005300741 is 1470035009.

It can be written as a sum of positive squares in 8 ways, for example, as 3276100 + 9002024641 = 1810^2 + 94879^2 .

It is a cyclic number.

It is not a de Polignac number, because 9005300741 - 22 = 9005300737 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005300749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333325 + ... + 1340061.

It is an arithmetic number, because the mean of its divisors is an integer number (606268395).

Almost surely, 29005300741 is an apocalyptic number.

It is an amenable number.

9005300741 is a deficient number, since it is larger than the sum of its proper divisors (694993579).

9005300741 is a wasteful number, since it uses less digits than its factorization.

9005300741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 9005300741 is about 94896.2630507651. The cubic root of 9005300741 is about 2080.4921127426.

The spelling of 9005300741 in words is "nine billion, five million, three hundred thousand, seven hundred forty-one".

Divisors: 1 17 61 1037 1289 6737 21913 78629 114529 410957 1336693 6986269 8683993 147627881 529723573 9005300741