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36230838336 = 2632721121032
BaseRepresentation
bin100001101111100001…
…101011100001000000
310110111222201021201100
4201233201223201000
51043200043311321
624351052334400
72421556021200
oct415741534100
9113458637640
1036230838336
1114402400100
127031774400
1335552248a4
141a79b86400
15e20b5d326
hex86f86b840

36230838336 has 567 divisors, whose sum is σ = 134086382703. Its totient is φ = 9319242240.

The previous prime is 36230838331. The next prime is 36230838349. The reversal of 36230838336 is 63383803263.

The square root of 36230838336 is 190344.

It is a perfect power (a square), and thus also a powerful number.

36230838336 is a `hidden beast` number, since 3 + 6 + 2 + 308 + 3 + 8 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36230838291 and 36230838300.

It is not an unprimeable number, because it can be changed into a prime (36230838331) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 351755661 + ... + 351755763.

Almost surely, 236230838336 is an apocalyptic number.

36230838336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36230838336 is the 190344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36230838336

36230838336 is an abundant number, since it is smaller than the sum of its proper divisors (97855544367).

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

36230838336 is a wasteful number, since it uses less digits than its factorization.

36230838336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 126 counting only the distinct ones).

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

The spelling of 36230838336 in words is "thirty-six billion, two hundred thirty million, eight hundred thirty-eight thousand, three hundred thirty-six".