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18396198720 = 2632529375953
BaseRepresentation
bin10001001000011111…
…111011011101000000
31202111001200201111100
4101020133323131000
5300133411324340
612241234214400
71220606052264
oct211037733500
952431621440
1018396198720
1178901a1419
123694a24400
1319723408b3
14c672c20a4
1572a06a830
hex4487fb740

18396198720 has 336 divisors, whose sum is σ = 67237569360. Its totient is φ = 4607705088.

The previous prime is 18396198719. The next prime is 18396198727. The reversal of 18396198720 is 2789169381.

18396198720 is a `hidden beast` number, since 18 + 3 + 9 + 619 + 8 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 577152576 + 17819046144 = 24024^2 + 133488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18396198727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3087264 + ... + 3093216.

Almost surely, 218396198720 is an apocalyptic number.

18396198720 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 18396198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33618784680).

18396198720 is an abundant number, since it is smaller than the sum of its proper divisors (48841370640).

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

18396198720 is a wasteful number, since it uses less digits than its factorization.

18396198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6029 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 18396198720 in words is "eighteen billion, three hundred ninety-six million, one hundred ninety-eight thousand, seven hundred twenty".