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13829048560057 = 31446098340647
BaseRepresentation
bin1100100100111101001110…
…0001101110100110111001
31210222001012011122000101211
43021033103201232212321
53303033342412410212
645224551024243121
72625054500161033
oct311172341564671
953861164560354
1013829048560057
114451959431615
1216741b44704a1
137940c5b62863
1435b4882c8c53
1518ead2cb49a7
hexc93d386e9b9

13829048560057 has 4 divisors (see below), whose sum is σ = 14275146900736. Its totient is φ = 13382950219380.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560057 is 75006584092831.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13829048560057 - 235 = 13794688821689 is a prime.

It is a lonely number, since its distance to closest prime (13829048559701) sets a new record.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13829048559983 and 13829048560010.

It is not an unprimeable number, because it can be changed into a prime (13829048560757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223049170293 + ... + 223049170354.

It is an arithmetic number, because the mean of its divisors is an integer number (3568786725184).

It is a 1-persistent number, because it is pandigital, but 2⋅13829048560057 = 27658097120114 is not.

Almost surely, 213829048560057 is an apocalyptic number.

It is an amenable number.

13829048560057 is a deficient number, since it is larger than the sum of its proper divisors (446098340679).

13829048560057 is an equidigital number, since it uses as much as digits as its factorization.

13829048560057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446098340678.

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 13829048560057 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, fifty-seven".

Divisors: 1 31 446098340647 13829048560057