Search a number
-
+
2339660864025 = 345219217892
BaseRepresentation
bin100010000010111110101…
…001111001101000011001
322021200001222200112010000
4202002332221321220121
5301313111140122100
64550454140043213
7331014656132532
oct42027651715031
98250058615100
102339660864025
11822276621261
12319537833509
1313c8240c4254
148135111d689
1540cd74d3900
hex220bea79a19

2339660864025 has 135 divisors (see below), whose sum is σ = 4576521921741. Its totient is φ = 1181483651520.

The previous prime is 2339660864003. The next prime is 2339660864081. The reversal of 2339660864025 is 5204680669332.

It is a happy number.

The square root of 2339660864025 is 1529595.

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

2339660864025 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 6 + 608 + 6 + 4 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 365815699929 + 1973845164096 = 604827^2 + 1404936^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2339660864025 - 235 = 2305301125657 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1307802831 + ... + 1307804619.

Almost surely, 22339660864025 is an apocalyptic number.

2339660864025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2339660864025 is the 1529595-th square number.

2339660864025 is the 764798-th centered octagonal number.

It is an amenable number.

2339660864025 is a deficient number, since it is larger than the sum of its proper divisors (2236861057716).

2339660864025 is an frugal number, since it uses more digits than its factorization.

2339660864025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2339660864025 in words is "two trillion, three hundred thirty-nine billion, six hundred sixty million, eight hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 285 361 405 475 513 675 855 1083 1425 1539 1789 1805 2025 2565 3249 4275 5367 5415 7695 8945 9025 9747 12825 16101 16245 26835 27075 29241 33991 38475 44725 48303 48735 80505 81225 101973 134175 144909 146205 169955 241515 243675 305919 402525 509865 645829 724545 731025 849775 917757 1207575 1529595 1937487 2549325 2753271 3200521 3229145 3622725 4588785 5812461 7647975 9601563 9687435 13766355 16002605 16145725 17437383 22943925 28804689 29062305 48007815 48437175 52312149 60809899 68831775 80013025 86414067 87186915 144023445 145311525 182429697 240039075 259242201 261560745 304049495 432070335 435934575 547289091 720117225 912148485 1155388081 1296211005 1307803725 1520247475 1641867273 2160351675 2736445455 3466164243 4560742425 4925601819 5776940405 6481055025 8209336365 10398492729 13682227275 17330821215 24628009095 28884702025 31195478187 41046681825 51992463645 86654106075 93586434561 123140045475 155977390935 259962318225 467932172805 779886954675 2339660864025