Search a number
-
+
32983281769 = 19329412
BaseRepresentation
bin11110101101111101…
…001111000001101001
310011010122212022121111
4132231331033001221
51020022210004034
623052522110321
72245233161224
oct365575170151
9104118768544
1032983281769
1112a96225859
12648604b3a1
133158474b99
14184c73c5bb
15cd09b9364
hex7adf4f069

32983281769 has 9 divisors (see below), whose sum is σ = 33190336389. Its totient is φ = 32777514240.

The previous prime is 32983281703. The next prime is 32983281839. The reversal of 32983281769 is 96718238923.

The square root of 32983281769 is 181613.

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 731432025 + 32251849744 = 27045^2 + 179588^2 .

It is not a de Polignac number, because 32983281769 - 227 = 32849064041 is a prime.

It is a super-2 number, since 2×329832817692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (7838208) is a multiple of the sum of its prime divisors (1134).

It is not an unprimeable number, because it can be changed into a prime (32983284769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35050839 + ... + 35051779.

Almost surely, 232983281769 is an apocalyptic number.

32983281769 is the 181613-rd square number.

32983281769 is the 90807-th centered octagonal number.

It is an amenable number.

32983281769 is a deficient number, since it is larger than the sum of its proper divisors (207054620).

32983281769 is an frugal number, since it uses more digits than its factorization.

32983281769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 1134 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The spelling of 32983281769 in words is "thirty-two billion, nine hundred eighty-three million, two hundred eighty-one thousand, seven hundred sixty-nine".

Divisors: 1 193 941 37249 181613 885481 35051309 170897833 32983281769