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268448888844862 = 211212735373333757
BaseRepresentation
bin111101000010011100100000…
…101010001111001000111110
31022012111110111121221222201121
4331002130200222033020332
5240141231311021013422
62350535414513501154
7110354535501563065
oct7502344052171076
91265443447858647
10268448888844862
1178599597339800
12261372398717ba
13b6a381085430b
144a40dd1ac91dc
152107e895098c7
hexf42720a8f23e

268448888844862 has 96 divisors (see below), whose sum is σ = 447980279233536. Its totient is φ = 120550204938240.

The previous prime is 268448888844803. The next prime is 268448888844863.

268448888844862 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268448888844863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7952374888 + ... + 7952408644.

It is an arithmetic number, because the mean of its divisors is an integer number (4666461242016).

Almost surely, 2268448888844862 is an apocalyptic number.

268448888844862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

268448888844862 is a deficient number, since it is larger than the sum of its proper divisors (179531390388674).

268448888844862 is a wasteful number, since it uses less digits than its factorization.

268448888844862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34994 (or 34983 counting only the distinct ones).

The product of its digits is 77309411328, while the sum is 88.

The spelling of 268448888844862 in words is "two hundred sixty-eight trillion, four hundred forty-eight billion, eight hundred eighty-eight million, eight hundred forty-four thousand, eight hundred sixty-two".

Divisors: 1 2 11 22 121 127 242 254 353 706 733 1397 1466 2794 3883 7766 8063 15367 16126 30734 33757 42713 44831 67514 85426 88693 89662 93091 177386 186182 258749 371327 493141 517498 742654 986282 1024001 2048002 2846239 4084597 4287139 5424551 5692478 8169194 8574278 10849102 11264011 11916221 22528022 23832442 24743881 31308629 32861123 47158529 49487762 62617258 65722246 94317058 131078431 262156862 272182691 361472353 518743819 544365382 722944706 1037487638 1441862741 1513360067 2883725482 2994009601 3026720134 3142472887 3976195883 5988019202 6284945774 7952391766 8734589993 16646960737 17469179986 33293921474 34567201757 69134403514 96080489923 183116568107 192160979846 366233136214 380239219327 760478438654 1056885389153 1109292929111 2113770778306 2218585858222 12202222220221 24404444440442 134224444422431 268448888844862