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18061304832 = 210341712809
BaseRepresentation
bin10000110100100010…
…011010010000000000
31201121201112100110000
4100310202122100000
5243442143223312
612144112240000
71206401362254
oct206442322000
951551470400
1018061304832
11772915470a
123600840000
13191ab4642c
14c34a28264
1570a967adc
hex43489a400

18061304832 has 220 divisors, whose sum is σ = 57111668460. Its totient is φ = 5665849344.

The previous prime is 18061304819. The next prime is 18061304881. The reversal of 18061304832 is 23840316081.

18061304832 is a `hidden beast` number, since 1 + 8 + 0 + 613 + 0 + 4 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9987204096 + 8074100736 = 99936^2 + 89856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1403644 + ... + 1416452.

It is an arithmetic number, because the mean of its divisors is an integer number (259598493).

Almost surely, 218061304832 is an apocalyptic number.

18061304832 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 18061304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28555834230).

18061304832 is an abundant number, since it is smaller than the sum of its proper divisors (39050363628).

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

18061304832 is a wasteful number, since it uses less digits than its factorization.

18061304832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12858 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18061304832 in words is "eighteen billion, sixty-one million, three hundred four thousand, eight hundred thirty-two".