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16352563201 = 1337443133
BaseRepresentation
bin11110011101011000…
…00101000000000001
31120012122020021120221
433032230011000001
5231442224010301
611302352103041
71116142331242
oct171654050001
946178207527
1016352563201
116a31660847
123204534a81
131707b29000
14b11b08cc9
1565a938da1
hex3ceb05001

16352563201 has 8 divisors (see below), whose sum is σ = 17714658920. Its totient is φ = 15094671696.

The previous prime is 16352563189. The next prime is 16352563223. The reversal of 16352563201 is 10236525361.

It can be written as a sum of positive squares in 4 ways, for example, as 9059232400 + 7293330801 = 95180^2 + 85401^2 .

It is a de Polignac number, because none of the positive numbers 2k-16352563201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16352563291) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3719370 + ... + 3723763.

It is an arithmetic number, because the mean of its divisors is an integer number (2214332365).

Almost surely, 216352563201 is an apocalyptic number.

It is an amenable number.

16352563201 is a deficient number, since it is larger than the sum of its proper divisors (1362095719).

16352563201 is an frugal number, since it uses more digits than its factorization.

16352563201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443172 (or 7443146 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 16352563201 in words is "sixteen billion, three hundred fifty-two million, five hundred sixty-three thousand, two hundred one".

Divisors: 1 13 169 2197 7443133 96760729 1257889477 16352563201