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36363608064 = 21332770459
BaseRepresentation
bin100001110111011100…
…001010000000000000
310110212020112200112200
4201313130022000000
51043433040424224
624412154153200
72425060366020
oct416734120000
9113766480480
1036363608064
1114470343a53
12706a122800
13357689cc64
141a8d667a80
15e2c6375c9
hex87770a000

36363608064 has 168 divisors, whose sum is σ = 120052002720. Its totient is φ = 10389454848.

The previous prime is 36363608063. The next prime is 36363608069. The reversal of 36363608064 is 46080636363.

36363608064 is a `hidden beast` number, since 3 + 6 + 3 + 636 + 0 + 8 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (36363608063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480867 + ... + 551325.

Almost surely, 236363608064 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 36363608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60026001360).

36363608064 is an abundant number, since it is smaller than the sum of its proper divisors (83688394656).

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

36363608064 is an equidigital number, since it uses as much as digits as its factorization.

36363608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70498 (or 70471 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 36363608064 in words is "thirty-six billion, three hundred sixty-three million, six hundred eight thousand, sixty-four".