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18114947136 = 2633111373309
BaseRepresentation
bin10000110111101111…
…000010100001000000
31201202110110122212000
4100313233002201000
5244044411302021
612153310104000
71210622336646
oct206757024100
951673418760
1018114947136
1177564629a0
1236167ab000
131928ca8640
14c3bbcd196
15710511b26
hex437bc2840

18114947136 has 224 divisors, whose sum is σ = 62565686400. Its totient is φ = 5067048960.

The previous prime is 18114947113. The next prime is 18114947183. The reversal of 18114947136 is 63174941181.

18114947136 is a `hidden beast` number, since 1 + 8 + 1 + 149 + 471 + 36 = 666.

It is a super-3 number, since 3×181149471363 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18114947091 and 18114947100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210450 + ... + 283758.

It is an arithmetic number, because the mean of its divisors is an integer number (279311100).

Almost surely, 218114947136 is an apocalyptic number.

18114947136 is a gapful number since it is divisible by the number (16) 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 18114947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31282843200).

18114947136 is an abundant number, since it is smaller than the sum of its proper divisors (44450739264).

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

18114947136 is a wasteful number, since it uses less digits than its factorization.

18114947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73354 (or 73338 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 18114947136 in words is "eighteen billion, one hundred fourteen million, nine hundred forty-seven thousand, one hundred thirty-six".