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18049190215680 = 214325131999463
BaseRepresentation
bin1000001101010011001111…
…00100100100000000000000
32100220111010002200112001200
410012221213210210000000
54331204220143400210
6102215403350101200
73542003521322211
oct406514744440000
970814102615050
1018049190215680
115829689376368
12203607934a800
13a0c053ac1b80
1446582a747408
1521477a5e20c0
hex106a67924000

18049190215680 has 720 divisors, whose sum is σ = 67727344339200. Its totient is φ = 4420084432896.

The previous prime is 18049190215673. The next prime is 18049190215697. The reversal of 18049190215680 is 8651209194081.

18049190215680 is a `hidden beast` number, since 1 + 8 + 0 + 49 + 19 + 0 + 21 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907338629 + ... + 1907348091.

Almost surely, 218049190215680 is an apocalyptic number.

18049190215680 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 18049190215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863672169600).

18049190215680 is an abundant number, since it is smaller than the sum of its proper divisors (49678154123520).

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

18049190215680 is a wasteful number, since it uses less digits than its factorization.

18049190215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9685 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 18049190215680 in words is "eighteen trillion, forty-nine billion, one hundred ninety million, two hundred fifteen thousand, six hundred eighty".