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13857534850041 = 361378732
BaseRepresentation
bin1100100110100111010101…
…1100010011001111111001
31211001202201102121111000000
43021221311130103033321
53304020212410200131
645250021424303213
72630113426511121
oct311516534231771
954052642544000
1013857534850041
114462a47180933
121679824471b09
137969b574524c
1435c9cb6a1c81
151906eda86ce6
hexc9a757133f9

13857534850041 has 21 divisors (see below), whose sum is σ = 20776948489279. Its totient is φ = 9238289560416.

The previous prime is 13857534850009. The next prime is 13857534850051. The reversal of 13857534850041 is 14005843575831.

The square root of 13857534850041 is 3722571.

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

13857534850041 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 7 + 53 + 48 + 500 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24312605625 + 13833222244416 = 155925^2 + 3719304^2 .

It is not a de Polignac number, because 13857534850041 - 25 = 13857534850009 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 13857534850041.

It is not an unprimeable number, because it can be changed into a prime (13857534850051) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 100440481 + ... + 100578353.

Almost surely, 213857534850041 is an apocalyptic number.

13857534850041 is the 3722571-st square number.

13857534850041 is the 1861286-th centered octagonal number.

It is an amenable number.

13857534850041 is a deficient number, since it is larger than the sum of its proper divisors (6919413639238).

13857534850041 is an frugal number, since it uses more digits than its factorization.

13857534850041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275764 (or 137876 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 13857534850041 in words is "thirteen trillion, eight hundred fifty-seven billion, five hundred thirty-four million, eight hundred fifty thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 137873 413619 1240857 3722571 11167713 33503139 100509417 19008964129 57026892387 171080677161 513242031483 1539726094449 4619178283347 13857534850041