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18423082816320 = 2635713251840187
BaseRepresentation
bin1000011000001011101010…
…10011101001001101000000
32102020020012022120120220110
410030011311103221031000
54403320433200110240
6103103240350111320
73611011111100250
oct414056523511500
972206168516813
1018423082816320
115963204a63156
1220966251ab540
13a3839b6550c0
14479979459960
1521e35eebec80
hex10c1754e9340

18423082816320 has 448 divisors, whose sum is σ = 72278644709376. Its totient is φ = 3871577088000.

The previous prime is 18423082816273. The next prime is 18423082816331. The reversal of 18423082816320 is 2361828032481.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18423082816320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21507267 + ... + 22347453.

It is an arithmetic number, because the mean of its divisors is an integer number (161336260512).

Almost surely, 218423082816320 is an apocalyptic number.

18423082816320 is a gapful number since it is divisible by the number (10) 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 18423082816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36139322354688).

18423082816320 is an abundant number, since it is smaller than the sum of its proper divisors (53855561893056).

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

18423082816320 is a wasteful number, since it uses less digits than its factorization.

18423082816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840478 (or 840468 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 18423082816320 in words is "eighteen trillion, four hundred twenty-three billion, eighty-two million, eight hundred sixteen thousand, three hundred twenty".