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9064372849 = 74292672
BaseRepresentation
bin10000111000100011…
…10101101001110001
3212101201012211221221
420130101311221301
5122030434412344
64055240545041
7440423620000
oct103421655161
925351184857
109064372849
113931669534
12190b782181
13b15bcb73c
1461dbb0c37
15380b95184
hex21c475a71

9064372849 has 45 divisors (see below), whose sum is σ = 11117580747. Its totient is φ = 7389586512.

The previous prime is 9064372799. The next prime is 9064372853. The reversal of 9064372849 is 9482734609.

It is a happy number.

The square root of 9064372849 is 95207.

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

It can be written as a sum of positive squares in only one way, i.e., 4753137249 + 4311235600 = 68943^2 + 65660^2 .

It is not a de Polignac number, because 9064372849 - 29 = 9064372337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9064372796 and 9064372805.

It is not an unprimeable number, because it can be changed into a prime (9064372879) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135289114 + ... + 135289180.

Almost surely, 29064372849 is an apocalyptic number.

9064372849 is the 95207-th square number.

9064372849 is the 47604-th centered octagonal number.

It is an amenable number.

9064372849 is a deficient number, since it is larger than the sum of its proper divisors (2053207898).

9064372849 is an frugal number, since it uses more digits than its factorization.

9064372849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The cubic root of 9064372849 is about 2085.0313393683.

The spelling of 9064372849 in words is "nine billion, sixty-four million, three hundred seventy-two thousand, eight hundred forty-nine".

Divisors: 1 7 29 49 67 203 343 469 841 1421 1943 2401 3283 4489 5887 9947 13601 22981 31423 41209 56347 69629 95207 130181 160867 219961 288463 394429 666449 911267 1539727 2019241 2761003 3775249 4665143 6378869 10778089 19327021 26426743 44652083 135289147 184987201 312564581 1294910407 9064372849