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18849021408 = 253472813697
BaseRepresentation
bin10001100011011111…
…010011110111100000
31210122121202111110000
4101203133103313200
5302100322141113
612354211540000
71235045016120
oct214337236740
953577674400
1018849021408
117aa2865848
1237a05ba600
131a150b8309
14cab4b6c80
15754bb5373
hex4637d3de0

18849021408 has 240 divisors, whose sum is σ = 63596310624. Its totient is φ = 5364817920.

The previous prime is 18849021379. The next prime is 18849021409. The reversal of 18849021408 is 80412094881.

18849021408 is a `hidden beast` number, since 18 + 8 + 490 + 2 + 140 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18849021409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5096616 + ... + 5100312.

Almost surely, 218849021408 is an apocalyptic number.

18849021408 is a gapful number since it is divisible by the number (18) 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 18849021408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31798155312).

18849021408 is an abundant number, since it is smaller than the sum of its proper divisors (44747289216).

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

18849021408 is a wasteful number, since it uses less digits than its factorization.

18849021408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18849021408 in words is "eighteen billion, eight hundred forty-nine million, twenty-one thousand, four hundred eight".