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204148673 = 1959269677
BaseRepresentation
bin11000010101100…
…00111111000001
3112020010211022222
430022300333001
5404230224143
632131340425
75026143431
oct1412607701
9466124288
10204148673
11a5266a13
1258451715
13333aa741
141d1822c1
1512dc8768
hexc2b0fc1

204148673 has 16 divisors (see below), whose sum is σ = 219672000. Its totient is φ = 189139392.

The previous prime is 204148657. The next prime is 204148687. The reversal of 204148673 is 376841402.

It is a cyclic number.

It is not a de Polignac number, because 204148673 - 24 = 204148657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204148613) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 301211 + ... + 301887.

It is an arithmetic number, because the mean of its divisors is an integer number (13729500).

Almost surely, 2204148673 is an apocalyptic number.

It is an amenable number.

204148673 is a deficient number, since it is larger than the sum of its proper divisors (15523327).

204148673 is a wasteful number, since it uses less digits than its factorization.

204148673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 204148673 is about 14288.0605051910. The cubic root of 204148673 is about 588.8195039977.

It can be divided in two parts, 204 and 148673, that added together give a cube (148877 = 533).

The spelling of 204148673 in words is "two hundred four million, one hundred forty-eight thousand, six hundred seventy-three".

Divisors: 1 19 59 269 677 1121 5111 12863 15871 39943 182113 301549 758917 3460147 10744667 204148673