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18328677801984 = 213341119149887
BaseRepresentation
bin1000010101011011110100…
…10101000110000000000000
32101220012112001212222010000
410022231322111012000000
54400244113004130414
6102552024531040000
73601126502522304
oct412557225060000
971805461788100
1018328677801984
11592716a878650
122080279140000
13a2c505035684
144751814d9d04
1521bb87068b09
hex10ab7a546000

18328677801984 has 1120 divisors, whose sum is σ = 63371541024000. Its totient is φ = 5220614799360.

The previous prime is 18328677801979. The next prime is 18328677801989. The reversal of 18328677801984 is 48910877682381.

18328677801984 is a `hidden beast` number, since 1 + 83 + 286 + 7 + 7 + 80 + 198 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18328677801979) and next prime (18328677801989).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18328677801989) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20663672389 + ... + 20663673275.

Almost surely, 218328677801984 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 18328677801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685770512000).

18328677801984 is an abundant number, since it is smaller than the sum of its proper divisors (45042863222016).

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

18328677801984 is a wasteful number, since it uses less digits than its factorization.

18328677801984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 18328677801984 in words is "eighteen trillion, three hundred twenty-eight billion, six hundred seventy-seven million, eight hundred one thousand, nine hundred eighty-four".