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21332377323312 = 24311229176428951
BaseRepresentation
bin1001101100110110101001…
…10001011100011100110000
32210112100121001110101202120
410312123110301130130300
510244002202043321222
6113211543040114240
74331133124301016
oct466332461343460
983470531411676
1021332377323312
116885012957470
122486436005980
13bb983314c343
1453a6c788a8b6
1526ed8647c15c
hex1366d4c5c730

21332377323312 has 80 divisors (see below), whose sum is σ = 60381044532480. Its totient is φ = 6436128096000.

The previous prime is 21332377323277. The next prime is 21332377323337.

21332377323312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88093564 + ... + 88335387.

It is an arithmetic number, because the mean of its divisors is an integer number (754763056656).

Almost surely, 221332377323312 is an apocalyptic number.

21332377323312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21332377323312 is an abundant number, since it is smaller than the sum of its proper divisors (39048667209168).

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

21332377323312 is a wasteful number, since it uses less digits than its factorization.

21332377323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176429202 (or 176429196 counting only the distinct ones).

The product of its digits is 571536, while the sum is 42.

It can be divided in two parts, 2133237 and 7323312, that added together give a palindrome (9456549).

The spelling of 21332377323312 in words is "twenty-one trillion, three hundred thirty-two billion, three hundred seventy-seven million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 229 264 458 528 687 916 1374 1832 2519 2748 3664 5038 5496 7557 10076 10992 15114 20152 30228 40304 60456 120912 176428951 352857902 529286853 705715804 1058573706 1411431608 1940718461 2117147412 2822863216 3881436922 4234294824 5822155383 7762873844 8468589648 11644310766 15525747688 23288621532 31051495376 40402229779 46577243064 80804459558 93154486128 121206689337 161608919116 242413378674 323217838232 444424527569 484826757348 646435676464 888849055138 969653514696 1333273582707 1777698110276 1939307029392 2666547165414 3555396220552 5333094330828 7110792441104 10666188661656 21332377323312