Search a number
-
+
395065045764 = 2234349192
BaseRepresentation
bin1011011111110111011…
…01100011001100000100
31101202201202120201110000
411233323231203030010
522433043122431024
6501253531001300
740354036324224
oct5577355431404
91352652521400
10395065045764
11142600a12224
1264696599230
132b34010528c
141519a9d4084
15a42353ecc9
hex5bfbb63304

395065045764 has 45 divisors (see below), whose sum is σ = 1032807644407. Its totient is φ = 131684577336.

The previous prime is 395065045721. The next prime is 395065045799. The reversal of 395065045764 is 467540560593.

The square root of 395065045764 is 628542.

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

395065045764 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 65 + 0 + 4 + 576 + 4 = 666.

It is a super-2 number, since 2×3950650457642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 395065045764.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11296297 + ... + 11331215.

Almost surely, 2395065045764 is an apocalyptic number.

395065045764 is the 628542-nd square number.

It is an amenable number.

395065045764 is an abundant number, since it is smaller than the sum of its proper divisors (637742598643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395065045764 is an frugal number, since it uses more digits than its factorization.

395065045764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69854 (or 34924 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 395065045764 in words is "three hundred ninety-five billion, sixty-five million, forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 34919 69838 104757 139676 209514 314271 419028 628542 942813 1257084 1885626 2828439 3771252 5656878 11313756 1219336561 2438673122 3658009683 4877346244 7316019366 10974029049 14632038732 21948058098 32922087147 43896116196 65844174294 98766261441 131688348588 197532522882 395065045764