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36068642064 = 24337213131071
BaseRepresentation
bin100001100101110110…
…111100110100010000
310110002200111212021000
4201211312330310100
51042332033021224
624323020102000
72414546253600
oct414566746420
9113080455230
1036068642064
11143298986a4
126ba7394900
13352a745570
141a62404c00
15e117c00c9
hex865dbcd10

36068642064 has 240 divisors, whose sum is σ = 129698365440. Its totient is φ = 9512536320.

The previous prime is 36068642009. The next prime is 36068642069. The reversal of 36068642064 is 46024686063.

36068642064 is a `hidden beast` number, since 360 + 6 + 86 + 4 + 206 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (36068642069) 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 47 ways as a sum of consecutive naturals, for example, 209649 + ... + 340719.

It is an arithmetic number, because the mean of its divisors is an integer number (540409856).

Almost surely, 236068642064 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 36068642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64849182720).

36068642064 is an abundant number, since it is smaller than the sum of its proper divisors (93629723376).

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

36068642064 is a wasteful number, since it uses less digits than its factorization.

36068642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131115 (or 131096 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36068642064 in words is "thirty-six billion, sixty-eight million, six hundred forty-two thousand, sixty-four".