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18120786649344 = 283417431195459
BaseRepresentation
bin1000001111011000100110…
…00011010010000100000000
32101011022220210000012020000
410013230103003102010000
54333342332340234334
6102312324030120000
73550116662056341
oct407542303220400
971138823005200
1018120786649344
115856a897236a5
122047b1a950000
13a15a23bc3c12
1446909d3a60c8
1521656ae4a299
hex107b130d2100

18120786649344 has 360 divisors, whose sum is σ = 58541857909920. Its totient is φ = 5552739827712.

The previous prime is 18120786649333. The next prime is 18120786649367. The reversal of 18120786649344 is 44394668702181.

18120786649344 is a `hidden beast` number, since 1 + 8 + 1 + 20 + 7 + 86 + 6 + 493 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14560287 + ... + 15755745.

It is an arithmetic number, because the mean of its divisors is an integer number (162616271972).

Almost surely, 218120786649344 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 18120786649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29270928954960).

18120786649344 is an abundant number, since it is smaller than the sum of its proper divisors (40421071260576).

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

18120786649344 is a wasteful number, since it uses less digits than its factorization.

18120786649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195547 (or 1195524 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 18120786649344 in words is "eighteen trillion, one hundred twenty billion, seven hundred eighty-six million, six hundred forty-nine thousand, three hundred forty-four".