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164148597 = 3254133713
BaseRepresentation
bin10011100100010…
…11010101110101
3102102212121112200
421302023111311
5314010223342
624142135113
74032145224
oct1162132565
9372777480
10164148597
11847262a8
1246b81499
1328013b62
1417b2ccbb
15e62694c
hex9c8b575

164148597 has 12 divisors (see below), whose sum is σ = 237548844. Its totient is φ = 109226880.

The previous prime is 164148577. The next prime is 164148629. The reversal of 164148597 is 795841461.

164148597 is a `hidden beast` number, since 16 + 4 + 1 + 48 + 597 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 122080401 = 6486^2 + 11049^2 .

It is a de Polignac number, because none of the positive numbers 2k-164148597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164148547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11988 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (19795737).

Almost surely, 2164148597 is an apocalyptic number.

It is an amenable number.

164148597 is a deficient number, since it is larger than the sum of its proper divisors (73400247).

164148597 is a wasteful number, since it uses less digits than its factorization.

164148597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34260 (or 34257 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 164148597 is about 12812.0488993759. The cubic root of 164148597 is about 547.5356378879.

The spelling of 164148597 in words is "one hundred sixty-four million, one hundred forty-eight thousand, five hundred ninety-seven".

Divisors: 1 3 9 541 1623 4869 33713 101139 303417 18238733 54716199 164148597