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18374400000 = 21132551129
BaseRepresentation
bin10001000111001100…
…110001100000000000
31202102112200020021100
4101013030301200000
5300112321300000
612235135054400
71220222552205
oct210714614000
952375606240
1018374400000
117879962750
123689671400
13196a97a848
14c64449cac
157281b1a00
hex447331800

18374400000 has 864 divisors, whose sum is σ = 74856927600. Its totient is φ = 4300800000.

The previous prime is 18374399983. The next prime is 18374400001. The reversal of 18374400000 is 447381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18374400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 633599986 + ... + 633600014.

Almost surely, 218374400000 is an apocalyptic number.

18374400000 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 18374400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37428463800).

18374400000 is an abundant number, since it is smaller than the sum of its proper divisors (56482527600).

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

18374400000 is an equidigital number, since it uses as much as digits as its factorization.

18374400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 18374400000 its reverse (447381), we get a palindrome (18374847381).

The spelling of 18374400000 in words is "eighteen billion, three hundred seventy-four million, four hundred thousand".