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166336431 = 31929472141
BaseRepresentation
bin10011110101000…
…01011110101111
3102120222202200120
421322201132233
5320040231211
624301100023
74056556602
oct1172413657
9376882616
10166336431
1185990028
1247857613
13285cb931
141813c339
15e909d06
hex9ea17af

166336431 has 32 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 99227520.

The previous prime is 166336409. The next prime is 166336439. The reversal of 166336431 is 134633661.

It is not a de Polignac number, because 166336431 - 29 = 166335919 is a prime.

It is a super-2 number, since 2×1663364312 = 55335616555635522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166336392 and 166336401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166336439) 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 31 ways as a sum of consecutive naturals, for example, 76621 + ... + 78761.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2166336431 is an apocalyptic number.

166336431 is a deficient number, since it is larger than the sum of its proper divisors (80421969).

166336431 is a wasteful number, since it uses less digits than its factorization.

166336431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239.

The product of its digits is 23328, while the sum is 33.

The square root of 166336431 is about 12897.1481731428. The cubic root of 166336431 is about 549.9574964400.

The spelling of 166336431 in words is "one hundred sixty-six million, three hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 19 29 47 57 87 141 551 893 1363 1653 2141 2679 4089 6423 25897 40679 62089 77691 100627 122037 186267 301881 1179691 1911913 2918183 3539073 5735739 8754549 55445477 166336431