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18142756408 = 2372326095399
BaseRepresentation
bin10000111001011001…
…000111111000111000
31201211101210112000001
4100321121013320320
5244124021201113
612200142122344
71211410612360
oct207131077070
951741715001
1018142756408
117770127467
123623b803b4
13193199442a
14c4178b9a0
15712ba67dd
hex439647e38

18142756408 has 64 divisors (see below), whose sum is σ = 40590720000. Its totient is φ = 7433175552.

The previous prime is 18142756393. The next prime is 18142756447. The reversal of 18142756408 is 80465724181.

It is a super-2 number, since 2×181427564082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3357693 + ... + 3363091.

It is an arithmetic number, because the mean of its divisors is an integer number (634230000).

Almost surely, 218142756408 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 18142756408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20295360000).

18142756408 is an abundant number, since it is smaller than the sum of its proper divisors (22447963592).

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

18142756408 is a wasteful number, since it uses less digits than its factorization.

18142756408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 18142756408 in words is "eighteen billion, one hundred forty-two million, seven hundred fifty-six thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 2609 5218 5399 10436 10798 18263 20872 21596 36526 37793 43192 60007 73052 75586 120014 124177 146104 151172 240028 248354 302344 420049 480056 496708 840098 869239 993416 1680196 1738478 3360392 3476956 6953912 14085991 28171982 56343964 98601937 112687928 197203874 323977793 394407748 647955586 788815496 1295911172 2267844551 2591822344 4535689102 9071378204 18142756408