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36153234012 = 223743101113877
BaseRepresentation
bin100001101010111001…
…101001001001011100
310110022120200120121010
4201222321221021130
51043020211442022
624335241135220
72416624263420
oct415271511134
9113276616533
1036153234012
11143726158a5
12700b78a510
133542122a7c
141a6d744b80
15e18e2e50c
hex86ae6925c

36153234012 has 192 divisors, whose sum is σ = 100623688704. Its totient is φ = 9889689600.

The previous prime is 36153234001. The next prime is 36153234017. The reversal of 36153234012 is 21043235163.

It is a super-2 number, since 2×361532340122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36153234017) 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 63 ways as a sum of consecutive naturals, for example, 41223318 + ... + 41224194.

It is an arithmetic number, because the mean of its divisors is an integer number (524081712).

Almost surely, 236153234012 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 36153234012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50311844352).

36153234012 is an abundant number, since it is smaller than the sum of its proper divisors (64470454692).

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

36153234012 is a wasteful number, since it uses less digits than its factorization.

36153234012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 36153234012 its reverse (21043235163), we get a palindrome (57196469175).

The spelling of 36153234012 in words is "thirty-six billion, one hundred fifty-three million, two hundred thirty-four thousand, twelve".