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164741631 = 3547100391
BaseRepresentation
bin10011101000111…
…00000111111111
3102110222202000220
421310130013333
5314133213011
624202552423
74040165205
oct1164340777
9373882026
10164741631
1184aa090a
1247208713
1328190a72
1417c45075
15e6e2506
hex9d1c1ff

164741631 has 8 divisors (see below), whose sum is σ = 220059264. Its totient is φ = 109625880.

The previous prime is 164741593. The next prime is 164741641. The reversal of 164741631 is 136147461.

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

It is not a de Polignac number, because 164741631 - 27 = 164741503 is a prime.

It is a super-2 number, since 2×1647416312 = 54279609969080322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 164741592 and 164741601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164741641) 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 7 ways as a sum of consecutive naturals, for example, 48555 + ... + 51836.

It is an arithmetic number, because the mean of its divisors is an integer number (27507408).

Almost surely, 2164741631 is an apocalyptic number.

164741631 is a deficient number, since it is larger than the sum of its proper divisors (55317633).

164741631 is a wasteful number, since it uses less digits than its factorization.

164741631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100941.

The product of its digits is 12096, while the sum is 33.

The square root of 164741631 is about 12835.1716388991. The cubic root of 164741631 is about 548.1942220521.

The spelling of 164741631 in words is "one hundred sixty-four million, seven hundred forty-one thousand, six hundred thirty-one".

Divisors: 1 3 547 1641 100391 301173 54913877 164741631