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10655343216 = 2432722365657
BaseRepresentation
bin10011110110001101…
…11010001001110000
31000111120220112000100
421323012322021300
5133310231440331
64521152552400
7525022631400
oct117306721160
930446815010
1010655343216
114578733081
122094552700
13100a6c251b
147311d4800
154256adae6
hex27b1ba270

10655343216 has 180 divisors, whose sum is σ = 36197518032. Its totient is φ = 2911974912.

The previous prime is 10655343151. The next prime is 10655343217. The reversal of 10655343216 is 61234355601.

10655343216 is a `hidden beast` number, since 106 + 5 + 534 + 3 + 2 + 16 = 666.

10655343216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106553432163 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10655343217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129460 + ... + 195116.

Almost surely, 210655343216 is an apocalyptic number.

10655343216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10655343216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098759016).

10655343216 is an abundant number, since it is smaller than the sum of its proper divisors (25542174816).

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

10655343216 is a wasteful number, since it uses less digits than its factorization.

10655343216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65708 (or 65692 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 10655343216 its reverse (61234355601), we get a palindrome (71889698817).

It can be divided in two parts, 106553 and 43216, that added together give a square (149769 = 3872).

The spelling of 10655343216 in words is "ten billion, six hundred fifty-five million, three hundred forty-three thousand, two hundred sixteen".