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193166403049 = 2329721972
BaseRepresentation
bin1011001111100110011…
…1010110010111101001
3200110121002122222210001
42303321213112113221
511131101044344144
6224423414223001
716645562222554
oct2637147262751
9613532588701
10193166403049
1174a15442714
123152b054a61
13152a5639299
1494c66bd69b
155058579bd4
hex2cf99d65e9

193166403049 has 27 divisors (see below), whose sum is σ = 205074270597. Its totient is φ = 181934801664.

The previous prime is 193166402999. The next prime is 193166403071. The reversal of 193166403049 is 940304661391.

The square root of 193166403049 is 439507.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60101954649 + 133064448400 = 245157^2 + 364780^2 .

It is not a de Polignac number, because 193166403049 - 215 = 193166370281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193166403649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 980540019 + ... + 980540215.

Almost surely, 2193166403049 is an apocalyptic number.

193166403049 is the 439507-th square number.

193166403049 is the 219754-th centered octagonal number.

It is an amenable number.

193166403049 is a deficient number, since it is larger than the sum of its proper divisors (11907867548).

193166403049 is an frugal number, since it uses more digits than its factorization.

193166403049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 193166403049 in words is "one hundred ninety-three billion, one hundred sixty-six million, four hundred three thousand, forty-nine".

Divisors: 1 23 97 197 529 2231 4531 9409 19109 38809 51313 104213 216407 439507 892607 1853573 3764473 4977361 10108661 20529961 42632179 86582879 365153881 980540117 1991406217 8398539263 193166403049