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18475091712 = 283572111929
BaseRepresentation
bin10001001101001100…
…111000011100000000
31202200120010220100000
4101031030320130000
5300314110413322
612253133200000
71222554455100
oct211514703400
952616126300
1018475091712
117920786940
1236b7330000
1319857a413c
14c7397b200
15731e513ac
hex44d338700

18475091712 has 1296 divisors, whose sum is σ = 76336041600. Its totient is φ = 4389396480.

The previous prime is 18475091699. The next prime is 18475091749. The reversal of 18475091712 is 21719057481.

It is a happy number.

18475091712 is a `hidden beast` number, since 1 + 8 + 475 + 0 + 9 + 171 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×184750917122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 637072114 + ... + 637072142.

Almost surely, 218475091712 is an apocalyptic number.

18475091712 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 18475091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38168020800).

18475091712 is an abundant number, since it is smaller than the sum of its proper divisors (57860949888).

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

18475091712 is a wasteful number, since it uses less digits than its factorization.

18475091712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 18475091712 in words is "eighteen billion, four hundred seventy-five million, ninety-one thousand, seven hundred twelve".