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41696414809 = 723129412
BaseRepresentation
bin100110110101010011…
…001100110001011001
310222121220011100010121
4212311103030301121
51140343240233214
631053254513241
73004163451400
oct466523146131
9128556140117
1041696414809
11167575a2655
1280b8065821
133c16674cca
1420379dc637
1511408cd424
hex9b54ccc59

41696414809 has 27 divisors (see below), whose sum is σ = 50172428223. Its totient is φ = 34550132400.

The previous prime is 41696414797. The next prime is 41696414813. The reversal of 41696414809 is 90841469614.

The square root of 41696414809 is 204197.

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

41696414809 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 only one way, i.e., 25855675209 + 15840739600 = 160797^2 + 125860^2 .

It is not a de Polignac number, because 41696414809 - 27 = 41696414681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41696414839) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44310279 + ... + 44311219.

Almost surely, 241696414809 is an apocalyptic number.

41696414809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41696414809 is the 204197-th square number.

41696414809 is the 102099-th centered octagonal number.

It is an amenable number.

41696414809 is a deficient number, since it is larger than the sum of its proper divisors (8476013414).

41696414809 is an frugal number, since it uses more digits than its factorization.

41696414809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 41696414809 in words is "forty-one billion, six hundred ninety-six million, four hundred fourteen thousand, eight hundred nine".

Divisors: 1 7 31 49 217 941 961 1519 6587 6727 29171 46109 47089 204197 885481 904301 1429379 6198367 6330107 27449911 43388569 44310749 192149377 850947241 1345045639 5956630687 41696414809