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18018229824 = 263272172472
BaseRepresentation
bin10000110001111110…
…000101111001000000
31201111201110220122100
4100301332011321000
5243400131323244
612135533110400
71205336266200
oct206176057100
951451426570
1018018229824
117706903831
1235aa328400
131911c4406a
14c2d014400
15706ca9b69
hex431f85e40

18018229824 has 567 divisors, whose sum is σ = 65206646193. Its totient is φ = 4742148096.

The previous prime is 18018229763. The next prime is 18018229829. The reversal of 18018229824 is 42892281081.

The square root of 18018229824 is 134232.

It is a perfect power (a square), and thus also a powerful number.

18018229824 is a `hidden beast` number, since 180 + 182 + 298 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14028033600 + 3990196224 = 118440^2 + 63168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18018229824.

It is not an unprimeable number, because it can be changed into a prime (18018229829) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 383366569 + ... + 383366615.

Almost surely, 218018229824 is an apocalyptic number.

18018229824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18018229824 is the 134232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18018229824

18018229824 is an abundant number, since it is smaller than the sum of its proper divisors (47188416369).

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

18018229824 is a wasteful number, since it uses less digits than its factorization.

18018229824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18018229824 in words is "eighteen billion, eighteen million, two hundred twenty-nine thousand, eight hundred twenty-four".