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1118185271424 = 27331323759877
BaseRepresentation
bin10000010001011001000…
…010010011000010000000
310221220020020212021101000
4100101121002103002000
5121310020412141144
62213404235012000
7143533446661404
oct20213102230200
93856206767330
101118185271424
113a1246486631
12160865b9a000
13815a1506c00
143c198761104
151e147254769
hex10459093080

1118185271424 has 768 divisors, whose sum is σ = 3736634544000. Its totient is φ = 328709062656.

The previous prime is 1118185271369. The next prime is 1118185271431. The reversal of 1118185271424 is 4241725818111.

1118185271424 is a `hidden beast` number, since 1 + 1 + 1 + 81 + 8 + 527 + 1 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1118185271424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1275011274 + ... + 1275012150.

Almost surely, 21118185271424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1118185271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868317272000).

1118185271424 is an abundant number, since it is smaller than the sum of its proper divisors (2618449272576).

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

1118185271424 is a wasteful number, since it uses less digits than its factorization.

1118185271424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 991 counting only the distinct ones).

The product of its digits is 143360, while the sum is 45.

The spelling of 1118185271424 in words is "one trillion, one hundred eighteen billion, one hundred eighty-five million, two hundred seventy-one thousand, four hundred twenty-four".