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13826105177 = 531181220889
BaseRepresentation
bin11001110000001100…
…11001111101011001
31022200120020220201112
430320012121331121
5211303440331202
610203541230105
7666423645353
oct147006317531
938616226645
1013826105177
115955526505
12281a402335
1313c4594b31
1495236c0d3
1555dc33b52
hex338199f59

13826105177 has 8 divisors (see below), whose sum is σ = 14098966920. Its totient is φ = 13553687680.

The previous prime is 13826105143. The next prime is 13826105179. The reversal of 13826105177 is 77150162831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2422214656 + 11403890521 = 49216^2 + 106789^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13826105177 - 26 = 13826105113 is a prime.

It is a super-2 number, since 2×138261051772 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13826105179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47852 + ... + 173037.

It is an arithmetic number, because the mean of its divisors is an integer number (1762370865).

Almost surely, 213826105177 is an apocalyptic number.

It is an amenable number.

13826105177 is a deficient number, since it is larger than the sum of its proper divisors (272861743).

13826105177 is a wasteful number, since it uses less digits than its factorization.

13826105177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222123.

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 13826105177 in words is "thirteen billion, eight hundred twenty-six million, one hundred five thousand, one hundred seventy-seven".

Divisors: 1 53 1181 62593 220889 11707117 260869909 13826105177