| Base | Representation |
|---|---|
| bin | 100001101010010000… |
| … | …101010101010100000 |
| 3 | 10110021211110211202200 |
| 4 | 201222100222222200 |
| 5 | 1043004434223240 |
| 6 | 24334215013200 |
| 7 | 2416434054504 |
| oct | 415220525240 |
| 9 | 113254424680 |
| 10 | 36142492320 |
| 11 | 14367549470 |
| 12 | 700806a200 |
| 13 | 353cb3173c |
| 14 | 1a6c14a304 |
| 15 | e1800b930 |
| hex | 86a42aaa0 |
36142492320 has 288 divisors, whose sum is σ = 142464329280. Its totient is φ = 8246353920.
The previous prime is 36142492313. The next prime is 36142492327. The reversal of 36142492320 is 2329424163.
36142492320 is a `hidden beast` number, since 3 + 6 + 142 + 492 + 3 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (36142492313) and next prime (36142492327).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×361424923202 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (36142492327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202171 + ... + 336389.
It is an arithmetic number, because the mean of its divisors is an integer number (494667810).
Almost surely, 236142492320 is an apocalyptic number.
36142492320 is a gapful number since it is divisible by the number (30) 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 36142492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71232164640).
36142492320 is an abundant number, since it is smaller than the sum of its proper divisors (106321836960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36142492320 is a wasteful number, since it uses less digits than its factorization.
36142492320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134268 (or 134257 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The spelling of 36142492320 in words is "thirty-six billion, one hundred forty-two million, four hundred ninety-two thousand, three hundred twenty".
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