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332689011264 = 263480112
BaseRepresentation
bin1001101011101011100…
…11110111001001000000
31011210201200001212010000
410311311303313021000
520422321341330024
6412500224040000
733015225636231
oct4656563671100
91153650055100
10332689011264
11119102301295
1254588a63000
13254ac33081c
141216075d088
1589c23ebcc9
hex4d75cf7240

332689011264 has 105 divisors (see below), whose sum is σ = 986317571811. Its totient is φ = 110882494080.

The previous prime is 332689011257. The next prime is 332689011269. The reversal of 332689011264 is 462110986233.

The square root of 332689011264 is 576792.

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

332689011264 is a `hidden beast` number, since 33 + 268 + 90 + 11 + 264 = 666.

It is a super-2 number, since 2×3326890112642 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332689011269) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 41525019 + ... + 41533029.

Almost surely, 2332689011264 is an apocalyptic number.

332689011264 is the 576792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332689011264

332689011264 is an abundant number, since it is smaller than the sum of its proper divisors (653628560547).

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

332689011264 is an frugal number, since it uses more digits than its factorization.

332689011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16046 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

Adding to 332689011264 its reverse (462110986233), we get a palindrome (794799997497).

The spelling of 332689011264 in words is "three hundred thirty-two billion, six hundred eighty-nine million, eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8011 16022 24033 32044 48066 64088 72099 96132 128176 144198 192264 216297 256352 288396 384528 432594 512704 576792 648891 769056 865188 1153584 1297782 1538112 1730376 2307168 2595564 3460752 4614336 5191128 6921504 10382256 13843008 20764512 41529024 64176121 128352242 192528363 256704484 385056726 513408968 577585089 770113452 1026817936 1155170178 1540226904 1732755267 2053635872 2310340356 3080453808 3465510534 4107271744 4620680712 5198265801 6160907616 6931021068 9241361424 10396531602 12321815232 13862042136 18482722848 20793063204 27724084272 36965445696 41586126408 55448168544 83172252816 110896337088 166344505632 332689011264