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10435523554434 = 231167732442843
BaseRepresentation
bin1001011111011011010110…
…1011001010110010000010
31100221121220120122011102110
42113312311223022302002
52331433423012220214
634110002514200150
72124641000440356
oct227666553126202
940847816564373
1010435523554434
113363753aa1670
121206583883056
135a90b12cb854
14281121165466
151316ba339159
hex97db5acac82

10435523554434 has 96 divisors (see below), whose sum is σ = 23429182604544. Its totient is φ = 3072402368640.

The previous prime is 10435523554411. The next prime is 10435523554451. The reversal of 10435523554434 is 43445532553401.

It is a super-2 number, since 2×104355235544342 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 23343417 + ... + 23786259.

It is an arithmetic number, because the mean of its divisors is an integer number (244053985464).

Almost surely, 210435523554434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10435523554434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714591302272).

10435523554434 is an abundant number, since it is smaller than the sum of its proper divisors (12993659050110).

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

10435523554434 is a wasteful number, since it uses less digits than its factorization.

10435523554434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443072 (or 442999 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 10435523554434 in words is "ten trillion, four hundred thirty-five billion, five hundred twenty-three million, five hundred fifty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 67 73 134 146 201 219 402 438 737 803 1474 1606 2211 2409 4422 4818 4891 5329 9782 10658 14673 15987 29346 31974 53801 58619 107602 117238 161403 175857 322806 351714 357043 442843 714086 885686 1071129 1328529 2142258 2657058 3927473 4871273 7854946 9742546 11782419 14613819 23564838 29227638 29670481 32327539 59340962 64655078 89011443 96982617 178022886 193965234 326375291 355602929 652750582 711205858 979125873 1066808787 1958251746 2133617574 2165945113 2359910347 4331890226 4719820694 6497835339 7079731041 12995670678 14159462082 23825396243 25959013817 47650792486 51918027634 71476188729 77877041451 142952377458 155754082902 158113993249 316227986498 474341979747 948683959494 1739253925739 3478507851478 5217761777217 10435523554434