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16730248213 = 72895097537
BaseRepresentation
bin11111001010011001…
…10101010000010101
31121011221220200000201
433211030311100111
5233230420420323
611404043140501
71131406522600
oct174514652025
947157820021
1016730248213
117105875118
1232aab14731
131768156573
14b49d41337
1567db908ad
hex3e5335415

16730248213 has 24 divisors (see below), whose sum is σ = 19721669400. Its totient is φ = 14149352448.

The previous prime is 16730248189. The next prime is 16730248217. The reversal of 16730248213 is 31284203761.

It is a happy number.

16730248213 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 2088764209 + 14641484004 = 45703^2 + 121002^2 .

It is not a de Polignac number, because 16730248213 - 25 = 16730248181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16730248217) 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 23 ways as a sum of consecutive naturals, for example, 2215981 + ... + 2223517.

It is an arithmetic number, because the mean of its divisors is an integer number (821736225).

Almost surely, 216730248213 is an apocalyptic number.

It is an amenable number.

16730248213 is a deficient number, since it is larger than the sum of its proper divisors (2991421187).

16730248213 is an equidigital number, since it uses as much as digits as its factorization.

16730248213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 16730248213 in words is "sixteen billion, seven hundred thirty million, two hundred forty-eight thousand, two hundred thirteen".

Divisors: 1 7 49 89 509 623 3563 4361 7537 24941 45301 52759 317107 369313 670793 2219749 3836333 4695551 26854331 32868857 187980317 341433637 2390035459 16730248213