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18216399960000 = 263354112139397
BaseRepresentation
bin1000010010001010101100…
…00011000111011111000000
32101111110201020022121222000
410021011112003013133000
54341424141342210000
6102424255411144000
73560043241565154
oct411052603073700
971443636277860
1018216399960000
115893593971100
1220625635a5000
13a21a50951098
1446d96d9b5064
15218cb4eca000
hex1091560c77c0

18216399960000 has 840 divisors, whose sum is σ = 73556817346320. Its totient is φ = 4416065280000.

The previous prime is 18216399959969. The next prime is 18216399960061. The reversal of 18216399960000 is 6999361281.

18216399960000 is a `hidden beast` number, since 1 + 8 + 21 + 6 + 3 + 9 + 9 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130610302 + ... + 130749698.

It is an arithmetic number, because the mean of its divisors is an integer number (87567639698).

Almost surely, 218216399960000 is an apocalyptic number.

18216399960000 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 18216399960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36778408673160).

18216399960000 is an abundant number, since it is smaller than the sum of its proper divisors (55340417386320).

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

18216399960000 is a wasteful number, since it uses less digits than its factorization.

18216399960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139460 (or 139418 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 18216399960000 in words is "eighteen trillion, two hundred sixteen billion, three hundred ninety-nine million, nine hundred sixty thousand".