Search a number
-
+
7972168369 = 11281172
BaseRepresentation
bin1110110110010110…
…11010001010110001
3202120121001010002011
413123023122022301
5112311333341434
63355023122521
7401362212244
oct73313321261
922517033064
107972168369
113421099100
121665a43441
139a084a0b9
14558b0125b
15319d4de64
hex1db2da2b1

7972168369 has 9 divisors (see below), whose sum is σ = 8763876331. Its totient is φ = 7246532920.

The previous prime is 7972168361. The next prime is 7972168397. The reversal of 7972168369 is 9638612797.

The square root of 7972168369 is 89287.

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., 7220750625 + 751417744 = 84975^2 + 27412^2 .

It is not a de Polignac number, because 7972168369 - 23 = 7972168361 is a prime.

It is a super-2 number, since 2×79721683692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7972168361) 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, 978099 + ... + 986215.

Almost surely, 27972168369 is an apocalyptic number.

7972168369 is the 89287-th square number.

7972168369 is the 44644-th centered octagonal number.

It is an amenable number.

7972168369 is a deficient number, since it is larger than the sum of its proper divisors (791707962).

7972168369 is an frugal number, since it uses more digits than its factorization.

7972168369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16256 (or 8128 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 58.

The cubic root of 7972168369 is about 1997.6780026240.

The spelling of 7972168369 in words is "seven billion, nine hundred seventy-two million, one hundred sixty-eight thousand, three hundred sixty-nine".

Divisors: 1 11 121 8117 89287 982157 65885689 724742579 7972168369