Search a number
-
+
195316249362481 = 13223243210872
BaseRepresentation
bin101100011010001110011011…
…101010011000000000110001
3221121120001101020111002201101
4230122032123222120000301
5201100030134314044411
61531223013554204401
756066063510633452
oct5432163352300061
9847501336432641
10195316249362481
1157263179976685
1219aa5720883701
1384ca32165ac00
1436334dd503129
15178a95587c8c1
hexb1a39ba98031

195316249362481 has 81 divisors (see below), whose sum is σ = 226561254971499. Its totient is φ = 168287644036512.

The previous prime is 195316249362461. The next prime is 195316249362503. The reversal of 195316249362481 is 184263942613591.

The square root of 195316249362481 is 13975559.

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., 28892936296225 + 166423313066256 = 5375215^2 + 12900516^2 .

It is a de Polignac number, because none of the positive numbers 2k-195316249362481 is a prime.

It is a super-2 number, since 2×1953162493624812 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195316249362461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 179683761520 + ... + 179683762606.

Almost surely, 2195316249362481 is an apocalyptic number.

195316249362481 is the 13975559-th square number.

195316249362481 is the 6987780-th centered octagonal number.

It is an amenable number.

195316249362481 is a deficient number, since it is larger than the sum of its proper divisors (31245005609018).

195316249362481 is an frugal number, since it uses more digits than its factorization.

195316249362481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 1166 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 64.

The spelling of 195316249362481 in words is "one hundred ninety-five trillion, three hundred sixteen billion, two hundred forty-nine million, three hundred sixty-two thousand, four hundred eighty-one".

Divisors: 1 13 23 43 169 299 529 559 989 1087 1849 3887 6877 7267 12857 14131 22747 24037 25001 42527 46741 89401 167141 183703 295711 312481 325013 552851 575023 607633 978121 1075043 1181569 2009863 3844243 4225169 7187063 7475299 7899229 12715573 13975559 15360397 24725989 26128219 27176087 46226849 50807467 97178887 165302449 181682267 199685161 321437857 339666847 353289131 600949037 625050001 660497071 1063217527 1168571741 2184721081 4178692141 4592758703 7812337481 8125650013 8586461923 13821827851 15191432633 26877150043 28401374053 50248584863 105633450169 179683762063 197488624229 349402950559 369217862689 653231603219 1155717451849 4542238357267 8492010841847 15024326874037 195316249362481