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18349143984 = 2432127424611
BaseRepresentation
bin10001000101101100…
…011011011110110000
31202100210011002112100
4101011230123132300
5300034340101414
612232433500400
71216465102413
oct210554333660
952323132470
1018349143984
117866682506
123681111700
131965676c62
14c60d53b7a
15725d73609
hex445b1b7b0

18349143984 has 30 divisors (see below), whose sum is σ = 51352118636. Its totient is φ = 6116381280.

The previous prime is 18349143983. The next prime is 18349144031. The reversal of 18349143984 is 48934194381.

18349143984 is a `hidden beast` number, since 18 + 34 + 91 + 439 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18349143984.

It is not an unprimeable number, because it can be changed into a prime (18349143983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63712162 + ... + 63712449.

Almost surely, 218349143984 is an apocalyptic number.

It is an amenable number.

18349143984 is an abundant number, since it is smaller than the sum of its proper divisors (33002974652).

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

18349143984 is a wasteful number, since it uses less digits than its factorization.

18349143984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127424625 (or 127424616 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

It can be divided in two parts, 183491 and 43984, that added together give a triangular number (227475 = T674).

The spelling of 18349143984 in words is "eighteen billion, three hundred forty-nine million, one hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 127424611 254849222 382273833 509698444 764547666 1019396888 1146821499 1529095332 2038793776 2293642998 3058190664 4587285996 6116381328 9174571992 18349143984