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18854384640 = 2103572134147
BaseRepresentation
bin10001100011110011…
…110001010000000000
31210122222211222102020
4101203303301100000
5302103210302030
612354522521440
71235141424300
oct214363612000
953588758366
1018854384640
117aa5899273
1237a2366280
131a16245520
14cac0b1600
157553c4510
hex463cf1400

18854384640 has 1056 divisors, whose sum is σ = 79035554304. Its totient is φ = 3798466560.

The previous prime is 18854384629. The next prime is 18854384657. The reversal of 18854384640 is 4648345881.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401157097 + ... + 401157143.

Almost surely, 218854384640 is an apocalyptic number.

18854384640 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 18854384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39517777152).

18854384640 is an abundant number, since it is smaller than the sum of its proper divisors (60181169664).

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

18854384640 is a wasteful number, since it uses less digits than its factorization.

18854384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 18854384640 in words is "eighteen billion, eight hundred fifty-four million, three hundred eighty-four thousand, six hundred forty".