| Base | Representation |
|---|---|
| bin | 10101100101111… |
| … | …11010000100000 |
| 3 | 110121211210021000 |
| 4 | 22302333100200 |
| 5 | 332332412324 |
| 6 | 25550232000 |
| 7 | 4326436323 |
| oct | 1262772040 |
| 9 | 417753230 |
| 10 | 181138464 |
| 11 | 93280011 |
| 12 | 507b5600 |
| 13 | 2b6b2130 |
| 14 | 1a0b27ba |
| 15 | 10d809c9 |
| hex | acbf420 |
181138464 has 96 divisors (see below), whose sum is σ = 568995840. Its totient is φ = 55731456.
The previous prime is 181138429. The next prime is 181138499. The reversal of 181138464 is 464831181.
It is a happy number.
181138464 is a `hidden beast` number, since 181 + 13 + 8 + 464 = 666.
It is an interprime number because it is at equal distance from previous prime (181138429) and next prime (181138499).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1811384642 = 65622286280558592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 3169 + ... + 19295.
It is an arithmetic number, because the mean of its divisors is an integer number (5927040).
Almost surely, 2181138464 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 181138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).
181138464 is an abundant number, since it is smaller than the sum of its proper divisors (387857376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
181138464 is a wasteful number, since it uses less digits than its factorization.
181138464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16159 (or 16145 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 181138464 is about 13458.7690373228. The cubic root of 181138464 is about 565.8094894214.
The spelling of 181138464 in words is "one hundred eighty-one million, one hundred thirty-eight thousand, four hundred sixty-four".
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