Search a number
-
+
179802288961 = 172249432
BaseRepresentation
bin1010011101110100001…
…1010011001101000001
3122012002201201122200121
42213131003103031001
510421213341221321
6214333335020241
715663445145041
oct2473503231501
9565081648617
10179802288961
116a287782a29
122aa1b50a681
1313c559ac079
1489b9851721
154a251a2441
hex29dd0d3341

179802288961 has 9 divisors (see below), whose sum is σ = 191008705251. Its totient is φ = 169218899232.

The previous prime is 179802288959. The next prime is 179802288977. The reversal of 179802288961 is 169882208971.

The square root of 179802288961 is 424031.

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., 139984481025 + 39817807936 = 374145^2 + 199544^2 .

It is not a de Polignac number, because 179802288961 - 21 = 179802288959 is a prime.

It is a super-2 number, since 2×1798022889612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 179802288961.

It is not an unprimeable number, because it can be changed into a prime (179802288661) 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, 7196056 + ... + 7220998.

Almost surely, 2179802288961 is an apocalyptic number.

179802288961 is the 424031-st square number.

179802288961 is the 212016-th centered octagonal number.

It is an amenable number.

179802288961 is a deficient number, since it is larger than the sum of its proper divisors (11206416290).

179802288961 is an frugal number, since it uses more digits than its factorization.

179802288961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49920 (or 24960 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 61.

The spelling of 179802288961 in words is "one hundred seventy-nine billion, eight hundred two million, two hundred eighty-eight thousand, nine hundred sixty-one".

Divisors: 1 17 289 24943 424031 7208527 622153249 10576605233 179802288961