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13812172175 = 5223137271647
BaseRepresentation
bin11001101110100010…
…10000010110001111
31022122121001001020102
430313101100112033
5211241404002200
610202322441315
7666164345354
oct146721202617
938577031212
1013812172175
11594867a42a
12281580323b
1313c1727059
1495058262b
1555c8d06d5
hex33745058f

13812172175 has 48 divisors (see below), whose sum is σ = 18096556032. Its totient is φ = 10437292800.

The previous prime is 13812172169. The next prime is 13812172207. The reversal of 13812172175 is 57127121831.

It is a happy number.

13812172175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13812172175 - 224 = 13795394959 is a prime.

It is a super-2 number, since 2×138121721752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21347702 + ... + 21348348.

It is an arithmetic number, because the mean of its divisors is an integer number (377011584).

Almost surely, 213812172175 is an apocalyptic number.

13812172175 is a deficient number, since it is larger than the sum of its proper divisors (4284383857).

13812172175 is a wasteful number, since it uses less digits than its factorization.

13812172175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1083 counting only the distinct ones).

The product of its digits is 23520, while the sum is 38.

The spelling of 13812172175 in words is "thirteen billion, eight hundred twelve million, one hundred seventy-two thousand, one hundred seventy-five".

Divisors: 1 5 23 25 115 137 271 575 647 685 1355 3151 3235 3425 6233 6775 14881 15755 16175 31165 37127 74405 78775 88639 155825 175337 185635 372025 443195 853921 876685 928175 2038697 2215975 4032751 4269605 4383425 10193485 20163755 21348025 24021169 50967425 100818775 120105845 552486887 600529225 2762434435 13812172175