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945747009 = 36172672
BaseRepresentation
bin111000010111101…
…111010001000001
32102220120221000000
4320113233101001
53414102401014
6233502350213
732302500624
oct7027572101
92386527000
10945747009
114459387a9
1222488b369
13120c2301c
148d867dbb
1558066509
hex385ef441

945747009 has 63 divisors (see below), whose sum is σ = 1529105907. Its totient is φ = 584553024.

The previous prime is 945746987. The next prime is 945747017. The reversal of 945747009 is 900747549.

The square root of 945747009 is 30753.

It is a perfect power (a square), and thus also a powerful number.

945747009 is a `hidden beast` number, since 9 + 4 + 574 + 70 + 0 + 9 = 666.

945747009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 736308225 + 209438784 = 27135^2 + 14472^2 .

It is not a de Polignac number, because 945747009 - 27 = 945746881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (945747409) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14115594 + ... + 14115660.

Almost surely, 2945747009 is an apocalyptic number.

945747009 is the 30753-rd square number.

945747009 is the 15377-th centered octagonal number.

It is an amenable number.

945747009 is a deficient number, since it is larger than the sum of its proper divisors (583358898).

945747009 is an frugal number, since it uses more digits than its factorization.

945747009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The cubic root of 945747009 is about 981.5783980726.

The spelling of 945747009 in words is "nine hundred forty-five million, seven hundred forty-seven thousand, nine".

Divisors: 1 3 9 17 27 51 67 81 153 201 243 289 459 603 729 867 1139 1377 1809 2601 3417 4131 4489 5427 7803 10251 12393 13467 16281 19363 23409 30753 40401 48843 58089 70227 76313 92259 121203 174267 210681 228939 276777 363609 522801 686817 830331 1090827 1297321 1568403 2060451 3272481 3891963 4705209 6181353 11675889 14115627 18544059 35027667 55632177 105083001 315249003 945747009