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192084975625 = 544723732
BaseRepresentation
bin1011001011100100101…
…0000010000000001001
3200100210201202210020111
42302321022002000021
511121342223210000
6224124223354321
716610021232124
oct2627112020011
9610721683214
10192084975625
117450aa63244
1231288a529a1
131516258c0ba
149422c173bb
154ee3661cba
hex2cb9282009

192084975625 has 45 divisors (see below), whose sum is σ = 245904309651. Its totient is φ = 149995236000.

The previous prime is 192084975623. The next prime is 192084975707. The reversal of 192084975625 is 526579480291.

It is a happy number.

The square root of 192084975625 is 438275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 140423322361 + 51661653264 = 374731^2 + 227292^2 .

It is not a de Polignac number, because 192084975625 - 21 = 192084975623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 192084975625.

It is not an unprimeable number, because it can be changed into a prime (192084975623) 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 44 ways as a sum of consecutive naturals, for example, 514972939 + ... + 514973311.

Almost surely, 2192084975625 is an apocalyptic number.

192084975625 is the 438275-th square number.

192084975625 is the 219138-th centered octagonal number.

It is an amenable number.

192084975625 is a deficient number, since it is larger than the sum of its proper divisors (53819334026).

192084975625 is an frugal number, since it uses more digits than its factorization.

192084975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 192084975625 in words is "one hundred ninety-two billion, eighty-four million, nine hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 25 47 125 235 373 625 1175 1865 2209 5875 9325 11045 17531 29375 46625 55225 87655 139129 233125 276125 438275 695645 823957 1380625 2191375 3478225 4119785 6539063 10956875 17391125 20598925 32695315 86955625 102994625 163476575 307335961 514973125 817382875 1536679805 4086914375 7683399025 38416995125 192084975625