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16306145201 = 295310609073
BaseRepresentation
bin11110010111110110…
…00000011110110001
31120002101220000001202
433023323000132301
5231343333121301
611254013140545
71115036642633
oct171373003661
946071800052
1016306145201
116a08437265
1231b0a8a755
1316cb326138
14b098a4a53
1565681a66b
hex3cbec07b1

16306145201 has 8 divisors (see below), whose sum is σ = 17186699880. Its totient is φ = 15446808832.

The previous prime is 16306145189. The next prime is 16306145279. The reversal of 16306145201 is 10254160361.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10039839601 + 6266305600 = 100199^2 + 79160^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16306145201 is a prime.

It is a super-4 number, since 4×163061452014 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16306145281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5303000 + ... + 5306073.

It is an arithmetic number, because the mean of its divisors is an integer number (2148337485).

Almost surely, 216306145201 is an apocalyptic number.

It is an amenable number.

16306145201 is a deficient number, since it is larger than the sum of its proper divisors (880554679).

16306145201 is a wasteful number, since it uses less digits than its factorization.

16306145201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609155.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 16306145201 in words is "sixteen billion, three hundred six million, one hundred forty-five thousand, two hundred one".

Divisors: 1 29 53 1537 10609073 307663117 562280869 16306145201