Search a number
-
+
39308217169 = 13210121512
BaseRepresentation
bin100100100110111100…
…111100101101010001
310202110110100022212011
4210212330330231101
51121000400422134
630020303302521
72561044222144
oct444674745521
9122413308764
1039308217169
11157415113a1
1277502aaa41
13392595c400
141c8c77205b
151050dd9264
hex926f3cb51

39308217169 has 27 divisors (see below), whose sum is σ = 43276710897. Its totient is φ = 35687340000.

The previous prime is 39308217121. The next prime is 39308217197. The reversal of 39308217169 is 96171280393.

The square root of 39308217169 is 198263.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1482635025 + 37825582144 = 38505^2 + 194488^2 .

It is not a de Polignac number, because 39308217169 - 29 = 39308216657 is a prime.

It is a super-2 number, since 2×393082171692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39308217269) 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 26 ways as a sum of consecutive naturals, for example, 260319244 + ... + 260319394.

Almost surely, 239308217169 is an apocalyptic number.

39308217169 is the 198263-rd square number.

39308217169 is the 99132-nd centered octagonal number.

It is an amenable number.

39308217169 is a deficient number, since it is larger than the sum of its proper divisors (3968493728).

39308217169 is an equidigital number, since it uses as much as digits as its factorization.

39308217169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 39308217169 by its sum of digits (49), we get a square (1926102641281 = 13878412).

The spelling of 39308217169 in words is "thirty-nine billion, three hundred eight million, two hundred seventeen thousand, one hundred sixty-nine".

Divisors: 1 13 101 151 169 1313 1963 10201 15251 17069 22801 25519 132613 198263 296413 1540351 1723969 2302901 2577419 3853369 20024563 29937713 232593001 260319319 389190269 3023709013 39308217169