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4216316036689 = 271275772
BaseRepresentation
bin111101010110110000000…
…001010000011001010001
3112221002001022110221001201
4331112300001100121101
51023040003401133224
612544540541231201
7613422145661161
oct75266001203121
915832038427051
104216316036689
111386147535709
12581197862501
1324779b4c5093
141080dc33c5a1
1574a21a50a44
hex3d5b0050651

4216316036689 has 9 divisors (see below), whose sum is σ = 4232490406491. Its totient is φ = 4200203265840.

The previous prime is 4216316036629. The next prime is 4216316036729. The reversal of 4216316036689 is 9866306136124.

It is a happy number.

The square root of 4216316036689 is 2053367.

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

4216316036689 is digitally balanced in base 3, 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 only one way, i.e., 27777222225 + 4188538814464 = 166665^2 + 2046592^2 .

It is not a de Polignac number, because 4216316036689 - 217 = 4216315905617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4216316036629) 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 8 ways as a sum of consecutive naturals, for example, 556458669 + ... + 556466245.

Almost surely, 24216316036689 is an apocalyptic number.

4216316036689 is the 2053367-th square number.

4216316036689 is the 1026684-th centered octagonal number.

It is an amenable number.

4216316036689 is a deficient number, since it is larger than the sum of its proper divisors (16174369802).

4216316036689 is an frugal number, since it uses more digits than its factorization.

4216316036689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 4216316036689 in words is "four trillion, two hundred sixteen billion, three hundred sixteen million, thirty-six thousand, six hundred eighty-nine".

Divisors: 1 271 7577 73441 2053367 57410929 556462457 15558361759 4216316036689