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18918984672 = 253972613
BaseRepresentation
bin10001100111101010…
…001100101111100000
31210211111102000000000
4101213222030233200
5302221230002142
612405151300000
71236554500500
oct214752145740
953744360000
1018918984672
118029301225
1237bbb1a600
131a267431b3
14cb68c9a00
1575add514c
hex467a8cbe0

18918984672 has 360 divisors, whose sum is σ = 65096699976. Its totient is φ = 5396606208.

The previous prime is 18918984661. The next prime is 18918984737. The reversal of 18918984672 is 27648981981.

18918984672 is a `hidden beast` number, since 1 + 8 + 91 + 89 + 8 + 467 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30862638 + ... + 30863250.

Almost surely, 218918984672 is an apocalyptic number.

18918984672 is a gapful number since it is divisible by the number (12) 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 18918984672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32548349988).

18918984672 is an abundant number, since it is smaller than the sum of its proper divisors (46177715304).

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

18918984672 is an frugal number, since it uses more digits than its factorization.

18918984672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 625 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 18918984672 in words is "eighteen billion, nine hundred eighteen million, nine hundred eighty-four thousand, six hundred seventy-two".