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18021323504184 = 233711133126771153
BaseRepresentation
bin1000001100011111010101…
…00101011111101000111000
32100210211012000112220100220
410012033222211133220320
54330230132304113214
6102154514241500040
73536666124223320
oct406175245375070
970724160486326
1018021323504184
115818889337590
1220307a0941620
13a095326a1680
14464345772280
15213b98e089a9
hex1063ea95fa38

18021323504184 has 768 divisors, whose sum is σ = 62652047754240. Its totient is φ = 4171618713600.

The previous prime is 18021323504141. The next prime is 18021323504189. The reversal of 18021323504184 is 48140532312081.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18021323504189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15629941752 + ... + 15629942904.

It is an arithmetic number, because the mean of its divisors is an integer number (81578187180).

Almost surely, 218021323504184 is an apocalyptic number.

18021323504184 is a gapful number since it is divisible by the number (14) 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 18021323504184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31326023877120).

18021323504184 is an abundant number, since it is smaller than the sum of its proper divisors (44630724250056).

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

18021323504184 is a wasteful number, since it uses less digits than its factorization.

18021323504184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 18021323504184 in words is "eighteen trillion, twenty-one billion, three hundred twenty-three million, five hundred four thousand, one hundred eighty-four".