Search a number
-
+
205606232541 = 3259387205711
BaseRepresentation
bin1011111101111100010…
…1100010000111011101
3201122201001101210202200
42333133011202013131
511332040143420131
6234242035042113
720566054066203
oct2773705420735
9648631353680
10205606232541
117a2193a3736
1233a21140339
1316508949438
149d468ad073
15553572a2e6
hex2fdf1621dd

205606232541 has 12 divisors (see below), whose sum is σ = 302020455360. Its totient is φ = 134747587080.

The previous prime is 205606232537. The next prime is 205606232543. The reversal of 205606232541 is 145232606502.

205606232541 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 0 + 623 + 25 + 4 + 1 = 666.

It is not a de Polignac number, because 205606232541 - 22 = 205606232537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205606232496 and 205606232505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205606232543) 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 11 ways as a sum of consecutive naturals, for example, 193602325 + ... + 193603386.

It is an arithmetic number, because the mean of its divisors is an integer number (25168371280).

Almost surely, 2205606232541 is an apocalyptic number.

It is an amenable number.

205606232541 is a deficient number, since it is larger than the sum of its proper divisors (96414222819).

205606232541 is a wasteful number, since it uses less digits than its factorization.

205606232541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387205776 (or 387205773 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 205606232541 in words is "two hundred five billion, six hundred six million, two hundred thirty-two thousand, five hundred forty-one".

Divisors: 1 3 9 59 177 531 387205711 1161617133 3484851399 22845136949 68535410847 205606232541