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1116445824 = 273213127587
BaseRepresentation
bin100001010001011…
…1001110010000000
32212210210022202100
41002202321302000
54241302231244
6302441150400
736444430044
oct10242716200
92783708670
101116445824
115232282aa
12271a8b400
1314a3bb440
14a83c0024
1568033b69
hex428b9c80

1116445824 has 192 divisors, whose sum is σ = 3493002240. Its totient is φ = 340236288.

The previous prime is 1116445801. The next prime is 1116445859. The reversal of 1116445824 is 4285446111.

1116445824 is a `hidden beast` number, since 1 + 1 + 1 + 644 + 5 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 1901659 + ... + 1902245.

It is an arithmetic number, because the mean of its divisors is an integer number (18192720).

Almost surely, 21116445824 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 1116445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746501120).

1116445824 is an abundant number, since it is smaller than the sum of its proper divisors (2376556416).

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

1116445824 is a wasteful number, since it uses less digits than its factorization.

1116445824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 732 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1116445824 is about 33413.2582068855. The cubic root of 1116445824 is about 1037.3991421578.

The spelling of 1116445824 in words is "one billion, one hundred sixteen million, four hundred forty-five thousand, eight hundred twenty-four".