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193025786409 = 321464492
BaseRepresentation
bin1011001111000100111…
…0111100001000101001
3200110020022001221000100
42303301032330020221
511130304100131114
6224401432300013
716642234053531
oct2636116741051
9613208057010
10193025786409
117495302a315
12314abb41609
1315282474381
1494b1b584c1
15504b050909
hex2cf13bc229

193025786409 has 9 divisors (see below), whose sum is σ = 278816928663. Its totient is φ = 128682978912.

The previous prime is 193025786399. The next prime is 193025786413. The reversal of 193025786409 is 904687520391.

The square root of 193025786409 is 439347.

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

193025786409 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 2 + 578 + 64 + 0 + 9 = 666.

193025786409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 139276000809 + 53749785600 = 373197^2 + 231840^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 193025786409 - 225 = 192992231977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193025786509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1244817 + ... + 1391265.

It is a 1-persistent number, because it is pandigital, but 2⋅193025786409 = 386051572818 is not.

Almost surely, 2193025786409 is an apocalyptic number.

193025786409 is the 439347-th square number.

193025786409 is the 219674-th centered octagonal number.

It is an amenable number.

193025786409 is a deficient number, since it is larger than the sum of its proper divisors (85791142254).

193025786409 is an frugal number, since it uses more digits than its factorization.

193025786409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292904 (or 146452 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 193025786409 in words is "one hundred ninety-three billion, twenty-five million, seven hundred eighty-six thousand, four hundred nine".

Divisors: 1 3 9 146449 439347 1318041 21447309601 64341928803 193025786409