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18009164646 = 2341110992717
BaseRepresentation
bin10000110001011011…
…100000101101100110
31201111002102100120000
4100301123200231212
5243340321232041
612135010522130
71205166242124
oct206133405546
951432370500
1018009164646
117701781a50
1235a7296346
1319100bbb55
14c2bb34914
157060b8bb6
hex4316e0b66

18009164646 has 80 divisors (see below), whose sum is σ = 44426756880. Its totient is φ = 5407197120.

The previous prime is 18009164587. The next prime is 18009164647. The reversal of 18009164646 is 64646190081.

18009164646 is a `hidden beast` number, since 180 + 0 + 9 + 1 + 6 + 464 + 6 = 666.

It is a super-2 number, since 2×180091646462 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18009164647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147880 + ... + 240596.

It is an arithmetic number, because the mean of its divisors is an integer number (555334461).

Almost surely, 218009164646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18009164646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22213378440).

18009164646 is an abundant number, since it is smaller than the sum of its proper divisors (26417592234).

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

18009164646 is a wasteful number, since it uses less digits than its factorization.

18009164646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92851 (or 92842 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18009164646 in words is "eighteen billion, nine million, one hundred sixty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 109 162 198 218 297 327 594 654 891 981 1199 1782 1962 2398 2943 3597 5886 7194 8829 10791 17658 21582 32373 64746 92717 97119 185434 194238 278151 556302 834453 1019887 1668906 2039774 2503359 3059661 5006718 6119322 7510077 9178983 10106153 15020154 18357966 20212306 27536949 30318459 55073898 60636918 82610847 90955377 111167683 165221694 181910754 222335366 272866131 333503049 545732262 667006098 818598393 1000509147 1637196786 2001018294 3001527441 6003054882 9004582323 18009164646