Search a number
-
+
655444064025 = 385219992
BaseRepresentation
bin10011000100110111000…
…00101011011100011001
32022122211000122100000000
421202123200223130121
541214322140022100
61221035025003213
765232341422362
oct11423340533431
92278730570000
10655444064025
11232a770a5513
12a7042a83509
1349a6755799a
1423a1ba2ab69
15120b2633900
hex989b82b719

655444064025 has 81 divisors (see below), whose sum is σ = 1219674163071. Its totient is φ = 349395294960.

The previous prime is 655444063997. The next prime is 655444064027. The reversal of 655444064025 is 520460444556.

The square root of 655444064025 is 809595.

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

655444064025 is a `hidden beast` number, since 6 + 5 + 544 + 40 + 6 + 40 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 235959863049 + 419484200976 = 485757^2 + 647676^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a de Polignac number, because none of the positive numbers 2k-655444064025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (655444064027) 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 80 ways as a sum of consecutive naturals, for example, 327884976 + ... + 327886974.

Almost surely, 2655444064025 is an apocalyptic number.

655444064025 is the 809595-th square number.

655444064025 is the 404798-th centered octagonal number.

It is an amenable number.

655444064025 is a deficient number, since it is larger than the sum of its proper divisors (564230099046).

655444064025 is an frugal number, since it uses more digits than its factorization.

655444064025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 655444064025 in words is "six hundred fifty-five billion, four hundred forty-four million, sixty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 1999 2025 2187 3645 5997 6075 6561 9995 10935 17991 18225 29985 32805 49975 53973 54675 89955 149925 161919 164025 269865 449775 485757 809595 1349325 1457271 2428785 3996001 4047975 4371813 7286355 11988003 12143925 13115439 19980005 21859065 35964009 36431775 59940015 65577195 99900025 107892027 109295325 179820045 299700075 323676081 327885975 539460135 899100225 971028243 1618380405 2697300675 2913084729 4855141215 8091902025 8739254187 14565423645 24275706075 26217762561 43696270935 72827118225 131088812805 218481354675 655444064025