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1116195480 = 2332541471609
BaseRepresentation
bin100001010000111…
…1100101010011000
32212210022121100100
41002201330222120
54241221223410
6302431535400
736442335141
oct10241745230
92783277310
101116195480
11523077204
1227198a560
1314a3314ca
14a8356ac8
1567ed48c0
hex4287ca98

1116195480 has 192 divisors, whose sum is σ = 3797539200. Its totient is φ = 284037120.

The previous prime is 1116195467. The next prime is 1116195533. The reversal of 1116195480 is 845916111.

It is a happy number.

1116195480 is a `hidden beast` number, since 11 + 161 + 9 + 5 + 480 = 666.

It is a super-4 number, since 4×11161954804 (a number of 37 digits) contains 4444 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 692916 + ... + 694524.

It is an arithmetic number, because the mean of its divisors is an integer number (19778850).

Almost surely, 21116195480 is an apocalyptic number.

1116195480 is a gapful number since it is divisible by the number (10) 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 1116195480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898769600).

1116195480 is an abundant number, since it is smaller than the sum of its proper divisors (2681343720).

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

1116195480 is a wasteful number, since it uses less digits than its factorization.

1116195480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1116195480 is about 33409.5118192409. The cubic root of 1116195480 is about 1037.3215966530.

The spelling of 1116195480 in words is "one billion, one hundred sixteen million, one hundred ninety-five thousand, four hundred eighty".