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164053901 = 11431272731
BaseRepresentation
bin10011100011101…
…00001110001101
3102102200210122102
421301310032031
5313444211101
624140124445
74031302154
oct1161641615
9372623572
10164053901
1184671140
1246b36725
1327caca1b
1417b0659b
15e60886b
hex9c7438d

164053901 has 16 divisors (see below), whose sum is σ = 184639488. Its totient is φ = 144471600.

The previous prime is 164053873. The next prime is 164053907. The reversal of 164053901 is 109350461.

164053901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164053901 - 210 = 164052877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164053907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58706 + ... + 61436.

It is an arithmetic number, because the mean of its divisors is an integer number (11539968).

Almost surely, 2164053901 is an apocalyptic number.

164053901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164053901 is a deficient number, since it is larger than the sum of its proper divisors (20585587).

164053901 is a wasteful number, since it uses less digits than its factorization.

164053901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 164053901 is about 12808.3527824619. The cubic root of 164053901 is about 547.4303280052.

The spelling of 164053901 in words is "one hundred sixty-four million, fifty-three thousand, nine hundred one".

Divisors: 1 11 43 127 473 1397 2731 5461 30041 60071 117433 346837 1291763 3815207 14913991 164053901