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16611300040 = 2351972108033
BaseRepresentation
bin11110111100001110…
…00101001011001000
31120212200002110210211
433132013011023020
5233004443100130
611344153450504
71125433502116
oct173607051310
946780073724
1016611300040
117054711645
123277110a34
13174960a32a
14b3821aab6
156734e6a2a
hex3de1c52c8

16611300040 has 32 divisors (see below), whose sum is σ = 37565165880. Its totient is φ = 6610788352.

The previous prime is 16611300037. The next prime is 16611300047. The reversal of 16611300040 is 4000311661.

It is a happy number.

16611300040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14315165316 + 2296134724 = 119646^2 + 47918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16611299984 and 16611300020.

It is not an unprimeable number, because it can be changed into a prime (16611300047) 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 7 ways as a sum of consecutive naturals, for example, 1046137 + ... + 1061896.

Almost surely, 216611300040 is an apocalyptic number.

16611300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16611300040 is an abundant number, since it is smaller than the sum of its proper divisors (20953865840).

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

16611300040 is a wasteful number, since it uses less digits than its factorization.

16611300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108241 (or 2108237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 16611300040 in words is "sixteen billion, six hundred eleven million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 2108033 4216066 8432132 10540165 16864264 21080330 42160660 84321320 415282501 830565002 1661130004 2076412505 3322260008 4152825010 8305650020 16611300040