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13874134175 = 52112318112119
BaseRepresentation
bin11001110101111011…
…00111110010011111
31022210220122001010022
430322331213302133
5211403234243200
610212414502355
71000546123526
oct147275476237
938726561108
1013874134175
11597a6503a0
1228325049bb
131401510065
149588b14bd
1556306e885
hex33af67c9f

13874134175 has 48 divisors (see below), whose sum is σ = 19693739520. Its totient is φ = 9597456000.

The previous prime is 13874134171. The next prime is 13874134207. The reversal of 13874134175 is 57143147831.

It is not a de Polignac number, because 13874134175 - 22 = 13874134171 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13874134171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138766 + ... + 1150884.

It is an arithmetic number, because the mean of its divisors is an integer number (410286240).

Almost surely, 213874134175 is an apocalyptic number.

13874134175 is a deficient number, since it is larger than the sum of its proper divisors (5819605345).

13874134175 is a wasteful number, since it uses less digits than its factorization.

13874134175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12339 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The spelling of 13874134175 in words is "thirteen billion, eight hundred seventy-four million, one hundred thirty-four thousand, one hundred seventy-five".

Divisors: 1 5 11 23 25 55 115 181 253 275 575 905 1265 1991 4163 4525 6325 9955 12119 20815 45793 49775 60595 104075 133309 228965 278737 302975 666545 1144825 1393685 2193539 3066107 3332725 6968425 10967695 15330535 24128929 50451397 54838475 76652675 120644645 252256985 554965367 603223225 1261284925 2774826835 13874134175