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10233385998208 = 271311627375103
BaseRepresentation
bin1001010011101010010101…
…0101100101011110000000
31100020022011021011101000221
42110322211111211132000
52320130433303420313
633433052544552424
72104223562530122
oct224724525453600
940208137141027
1010233385998208
113295a5568087a
121193370322714
135930091a2409
1427542721d212
1512b2d93cec8d
hex94ea5565780

10233385998208 has 64 divisors (see below), whose sum is σ = 20555129041920. Its totient is φ = 5074499888640.

The previous prime is 10233385998193. The next prime is 10233385998211. The reversal of 10233385998208 is 80289958333201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102333859982082 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27093985 + ... + 27469087.

It is an arithmetic number, because the mean of its divisors is an integer number (321173891280).

Almost surely, 210233385998208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233385998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277564520960).

10233385998208 is an abundant number, since it is smaller than the sum of its proper divisors (10321743043712).

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

10233385998208 is a wasteful number, since it uses less digits than its factorization.

10233385998208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376875 (or 376863 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 10233385998208 in words is "ten trillion, two hundred thirty-three billion, three hundred eighty-five million, nine hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 1627 2096 3254 4192 6508 8384 13016 16768 26032 52064 104128 208256 213137 375103 426274 750206 852548 1500412 1705096 3000824 3410192 6001648 6820384 12003296 13640768 24006592 27281536 48013184 49138493 98276986 196553972 393107944 610292581 786215888 1220585162 1572431776 2441170324 3144863552 4882340648 6289727104 9764681296 19529362592 39058725184 78117450368 79948328111 159896656222 319793312444 639586624888 1279173249776 2558346499552 5116692999104 10233385998208