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7094861361 = 34741912
BaseRepresentation
bin1101001101110001…
…01111111000110001
3200022110020022010000
412212320233320301
5104012241030421
63132003300213
7340550220000
oct64670577061
920273208100
107094861361
113010956395
12146007a669
13890b6a823
144b43b0c37
152b7d06226
hex1a6e2fe31

7094861361 has 75 divisors (see below), whose sum is σ = 12429249833. Its totient is φ = 4032980280.

The previous prime is 7094861353. The next prime is 7094861369. The reversal of 7094861361 is 1631684907.

It is a happy number.

The square root of 7094861361 is 84231.

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

It is an interprime number because it is at equal distance from previous prime (7094861353) and next prime (7094861369).

It is not a de Polignac number, because 7094861361 - 23 = 7094861353 is a prime.

It is a super-3 number, since 3×70948613613 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7094861369) 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 74 ways as a sum of consecutive naturals, for example, 37145776 + ... + 37145966.

Almost surely, 27094861361 is an apocalyptic number.

7094861361 is the 84231-st square number.

7094861361 is the 42116-th centered octagonal number.

It is an amenable number.

7094861361 is a deficient number, since it is larger than the sum of its proper divisors (5334388472).

7094861361 is an frugal number, since it uses more digits than its factorization.

7094861361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 7094861361 is about 1921.5335477436.

The spelling of 7094861361 in words is "seven billion, ninety-four million, eight hundred sixty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 191 343 441 567 573 1029 1323 1337 1719 2401 3087 3969 4011 5157 7203 9261 9359 12033 15471 21609 27783 28077 36099 36481 64827 65513 84231 108297 109443 194481 196539 252693 255367 328329 458591 589617 758079 766101 984987 1375773 1768851 1787569 2298303 2954961 4127319 5306553 5362707 6894909 12381957 12512983 16088121 20684727 37145871 37538949 48264363 87590881 112616847 144793089 262772643 337850541 788317929 1013551623 2364953787 7094861361