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18096198120 = 233357111319881
BaseRepresentation
bin10000110110100111…
…100001000111101000
31201201011012010001000
4100312213201013220
5244030111314440
612151400155000
71210304101050
oct206647410750
951634163030
1018096198120
117746917540
123610468a60
131925142750
14c3950c560
1570da5b730
hex4369e11e8

18096198120 has 1024 divisors, whose sum is σ = 85349376000. Its totient is φ = 3284582400.

The previous prime is 18096198091. The next prime is 18096198149. The reversal of 18096198120 is 2189169081.

18096198120 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 619 + 8 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (18096198091) and next prime (18096198149).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20540080 + ... + 20540960.

It is an arithmetic number, because the mean of its divisors is an integer number (83349000).

Almost surely, 218096198120 is an apocalyptic number.

18096198120 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 18096198120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674688000).

18096198120 is an abundant number, since it is smaller than the sum of its proper divisors (67253177880).

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

18096198120 is a wasteful number, since it uses less digits than its factorization.

18096198120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 18096198120 in words is "eighteen billion, ninety-six million, one hundred ninety-eight thousand, one hundred twenty".