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18670201668 = 22325310319491
BaseRepresentation
bin10001011000110101…
…001010101101000100
31210012011021111212200
4101120311022231010
5301214032423133
612324343114500
71230444044556
oct213065125504
953164244780
1018670201668
117a10929938
123750742a30
1319b7038711
14c918494d6
15744141913
hex458d4ab44

18670201668 has 72 divisors (see below), whose sum is σ = 48136286016. Its totient is φ = 6099412800.

The previous prime is 18670201663. The next prime is 18670201679. The reversal of 18670201668 is 86610207681.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18670201661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962403 + ... + 1971893.

It is an arithmetic number, because the mean of its divisors is an integer number (668559528).

Almost surely, 218670201668 is an apocalyptic number.

18670201668 is a gapful number since it is divisible by the number (18) 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 18670201668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24068143008).

18670201668 is an abundant number, since it is smaller than the sum of its proper divisors (29466084348).

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

18670201668 is a wasteful number, since it uses less digits than its factorization.

18670201668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18670201668 in words is "eighteen billion, six hundred seventy million, two hundred one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1031 1908 2062 3093 4124 6186 9279 9491 12372 18558 18982 28473 37116 37964 54643 56946 85419 109286 113892 163929 170838 218572 327858 341676 491787 503023 655716 983574 1006046 1509069 1967148 2012092 3018138 4527207 6036276 9054414 9785221 18108828 19570442 29355663 39140884 58711326 88066989 117422652 176133978 352267956 518616713 1037233426 1555850139 2074466852 3111700278 4667550417 6223400556 9335100834 18670201668