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188082129 = 341432827
BaseRepresentation
bin10110011010111…
…10011111010001
3111002220120011210
423031132133101
5341122112004
630355130333
74442446254
oct1315363721
9432816153
10188082129
1197192984
1252ba39a9
132cc73801
141ad9d09b
15117a3089
hexb35e7d1

188082129 has 24 divisors (see below), whose sum is σ = 263323872. Its totient is φ = 119340480.

The previous prime is 188082119. The next prime is 188082131. The reversal of 188082129 is 921280881.

It is not a de Polignac number, because 188082129 - 227 = 53864401 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (188082119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227014 + ... + 227840.

It is an arithmetic number, because the mean of its divisors is an integer number (10971828).

Almost surely, 2188082129 is an apocalyptic number.

It is an amenable number.

188082129 is a deficient number, since it is larger than the sum of its proper divisors (75241743).

188082129 is an equidigital number, since it uses as much as digits as its factorization.

188082129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 188082129 is about 13714.3038102559. The cubic root of 188082129 is about 572.9488394271.

The spelling of 188082129 in words is "one hundred eighty-eight million, eighty-two thousand, one hundred twenty-nine".

Divisors: 1 3 41 43 123 129 827 1763 1849 2481 5289 5547 33907 35561 75809 101721 106683 227427 1458001 1529123 4374003 4587369 62694043 188082129