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16002503001 = 3214922832
BaseRepresentation
bin11101110011101001…
…01101000101011001
31112022020112101021100
432321310231011121
5230233120044001
611203525102013
71104362013462
oct167164550531
945266471240
1016002503001
116871aa53a1
123127257909
1316804515b4
14abb423d69
15639d3c586
hex3b9d2d159

16002503001 has 27 divisors (see below), whose sum is σ = 23353419999. Its totient is φ = 10559291472.

The previous prime is 16002502993. The next prime is 16002503059. The reversal of 16002503001 is 10030520061.

The square root of 16002503001 is 126501.

It is a perfect power (a square), and thus also a powerful number.

16002503001 is a `hidden beast` number, since 160 + 0 + 2 + 503 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1874803401 + 14127699600 = 43299^2 + 118860^2 .

It is not a de Polignac number, because 16002503001 - 23 = 16002502993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16002503081) 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 26 ways as a sum of consecutive naturals, for example, 56545806 + ... + 56546088.

Almost surely, 216002503001 is an apocalyptic number.

16002503001 is the 126501-st square number.

16002503001 is the 63251-st centered octagonal number.

It is an amenable number.

16002503001 is a deficient number, since it is larger than the sum of its proper divisors (7350916998).

16002503001 is an frugal number, since it uses more digits than its factorization.

16002503001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 16002503001 in words is "sixteen billion, two million, five hundred three thousand, one".

Divisors: 1 3 9 149 283 447 849 1341 2547 22201 42167 66603 80089 126501 199809 240267 379503 720801 6282883 11933261 18848649 35799783 56545947 107399349 1778055889 5334167667 16002503001