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164636141 = 1131937549
BaseRepresentation
bin10011101000000…
…10010111101101
3102110210101022212
421310002113231
5314121324031
624200420205
74036245515
oct1164022755
9373711285
10164636141
1184a2962a
1247177665
1328154a47
1417c18845
15e6c112b
hex9d025ed

164636141 has 8 divisors (see below), whose sum is σ = 166975800. Its totient is φ = 162312192.

The previous prime is 164636123. The next prime is 164636183. The reversal of 164636141 is 141636461.

164636141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2175625 + 162460516 = 1475^2 + 12746^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164636141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164636098 and 164636107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164636111) 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, 18035 + ... + 25583.

It is an arithmetic number, because the mean of its divisors is an integer number (20871975).

Almost surely, 2164636141 is an apocalyptic number.

It is an amenable number.

164636141 is a deficient number, since it is larger than the sum of its proper divisors (2339659).

164636141 is a wasteful number, since it uses less digits than its factorization.

164636141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7855.

The product of its digits is 10368, while the sum is 32.

The square root of 164636141 is about 12831.0615694883. The cubic root of 164636141 is about 548.0771875663.

The spelling of 164636141 in words is "one hundred sixty-four million, six hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 113 193 7549 21809 853037 1456957 164636141