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2006216261 = 7353110359
BaseRepresentation
bin111011110010100…
…0110111001000101
312011211001100022222
41313211012321011
513102042410021
6531024102125
7100500362000
oct16745067105
95154040288
102006216261
1193a502a75
1247ba64945
1325c84291a
14150636537
15bb1de6ab
hex77946e45

2006216261 has 16 divisors (see below), whose sum is σ = 2383776000. Its totient is φ = 1687153104.

The previous prime is 2006216249. The next prime is 2006216269. The reversal of 2006216261 is 1626126002.

It is a de Polignac number, because none of the positive numbers 2k-2006216261 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2006216261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006216269) 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 15 ways as a sum of consecutive naturals, for example, 37001 + ... + 73358.

It is an arithmetic number, because the mean of its divisors is an integer number (148986000).

Almost surely, 22006216261 is an apocalyptic number.

It is an amenable number.

2006216261 is a deficient number, since it is larger than the sum of its proper divisors (377559739).

2006216261 is an equidigital number, since it uses as much as digits as its factorization.

2006216261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110433 (or 110419 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2006216261 is about 44790.8055408697. The cubic root of 2006216261 is about 1261.2250328577.

The spelling of 2006216261 in words is "two billion, six million, two hundred sixteen thousand, two hundred sixty-one".

Divisors: 1 7 49 53 343 371 2597 18179 110359 772513 5407591 5849027 37853137 40943189 286602323 2006216261