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36064352728656 = 2435721921274129
BaseRepresentation
bin10000011001100111000101…
…11011101111011001010000
311201200201101202020122100000
420030303202323233121100
514211334243244304111
6204411422424330000
710411364165152200
oct1014634273573120
9151621352218300
1036064352728656
1110544895a12a7a
12406561a913900
131717b13c4aac5
148c9749b60400
154281b36b1c56
hex20cce2eef650

36064352728656 has 1080 divisors, whose sum is σ = 129545678545920. Its totient is φ = 9682569695232.

The previous prime is 36064352728631. The next prime is 36064352728661. The reversal of 36064352728656 is 65682725346063.

36064352728656 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 43 + 527 + 2 + 8 + 65 + 6 = 666.

36064352728656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 36064352728593 and 36064352728602.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 8734401600 + ... + 8734405728.

Almost surely, 236064352728656 is an apocalyptic number.

36064352728656 is a gapful number since it is divisible by the number (36) 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 36064352728656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64772839272960).

36064352728656 is an abundant number, since it is smaller than the sum of its proper divisors (93481325817264).

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

36064352728656 is a wasteful number, since it uses less digits than its factorization.

36064352728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 36064352728656 in words is "thirty-six trillion, sixty-four billion, three hundred fifty-two million, seven hundred twenty-eight thousand, six hundred fifty-six".