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164513128 = 23131581857
BaseRepresentation
bin10011100111001…
…00010101101000
3102110120010120211
421303210111220
5314103410003
624154030504
74035224053
oct1163442550
9373503524
10164513128
118495516a
1247118434
1328110a60
1417bc5a9a
15e69996d
hex9ce4568

164513128 has 16 divisors (see below), whose sum is σ = 332190180. Its totient is φ = 75929088.

The previous prime is 164513119. The next prime is 164513149. The reversal of 164513128 is 821315461.

It can be written as a sum of positive squares in 2 ways, for example, as 159213924 + 5299204 = 12618^2 + 2302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164513128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 790825 + ... + 791032.

Almost surely, 2164513128 is an apocalyptic number.

It is an amenable number.

164513128 is an abundant number, since it is smaller than the sum of its proper divisors (167677052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164513128 is a wasteful number, since it uses less digits than its factorization.

164513128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581876 (or 1581872 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 164513128 is about 12826.2671108940. The cubic root of 164513128 is about 547.9406492634.

Adding to 164513128 its reverse (821315461), we get a palindrome (985828589).

The spelling of 164513128 in words is "one hundred sixty-four million, five hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 1581857 3163714 6327428 12654856 20564141 41128282 82256564 164513128