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18313412313024 = 2633316114333911
BaseRepresentation
bin1000010100111111011000…
…11011110111111111000000
32101211202010012011210001000
410022133230123313333000
54400021332023004044
6102541022050412000
73600046300150503
oct412375433677700
971752105153030
1018313412313024
115920746903874
122079318891000
13a2ac414b2b7a
14474533d2713a
1521b591cb0d69
hex10a7ec6f7fc0

18313412313024 has 448 divisors, whose sum is σ = 56539684085760. Its totient is φ = 5805167616000.

The previous prime is 18313412313023. The next prime is 18313412313037. The reversal of 18313412313024 is 42031321431381.

18313412313024 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 341 + 2 + 3 + 1 + 302 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18313412313024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18313412313023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4682537629 + ... + 4682541539.

Almost surely, 218313412313024 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 18313412313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28269842042880).

18313412313024 is an abundant number, since it is smaller than the sum of its proper divisors (38226271772736).

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

18313412313024 is a wasteful number, since it uses less digits than its factorization.

18313412313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 18313412313024 in words is "eighteen trillion, three hundred thirteen billion, four hundred twelve million, three hundred thirteen thousand, twenty-four".