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18342035712 = 2833711213241
BaseRepresentation
bin10001000101010001…
…010100000100000000
31202100021202221211000
4101011101110010000
5300031030120322
612232021252000
71216350505530
oct210521240400
952307687730
1018342035712
117862667a00
12367a864000
131964058690
14c600234c0
1572541c3ac
hex445454100

18342035712 has 864 divisors, whose sum is σ = 73682766080. Its totient is φ = 4379443200.

The previous prime is 18342035687. The next prime is 18342035729. The reversal of 18342035712 is 21753024381.

18342035712 is a `hidden beast` number, since 1 + 83 + 4 + 2 + 0 + 3 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76107912 + ... + 76108152.

Almost surely, 218342035712 is an apocalyptic number.

18342035712 is a gapful number since it is divisible by the number (12) 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 18342035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36841383040).

18342035712 is an abundant number, since it is smaller than the sum of its proper divisors (55340730368).

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

18342035712 is a wasteful number, since it uses less digits than its factorization.

18342035712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 18342035712 in words is "eighteen billion, three hundred forty-two million, thirty-five thousand, seven hundred twelve".