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36149797161 = 32633772
BaseRepresentation
bin100001101010101100…
…100010000100101001
310110022100012222010100
4201222230202010221
51043013322002121
624335035340013
72416553130432
oct415254420451
9113270188110
1036149797161
1114370688725
12700a5b1609
1335414bb62a
141a6d0cc489
15e189a1026
hex86ab22129

36149797161 has 9 divisors (see below), whose sum is σ = 52217197591. Its totient is φ = 24099484512.

The previous prime is 36149797139. The next prime is 36149797163. The reversal of 36149797161 is 16179794163.

The square root of 36149797161 is 190131.

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

36149797161 is a `hidden beast` number, since 3 + 6 + 1 + 497 + 97 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 826850025 + 35322947136 = 28755^2 + 187944^2 .

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

It is not a de Polignac number, because 36149797161 - 217 = 36149666089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36149797098 and 36149797107.

It is not an unprimeable number, because it can be changed into a prime (36149797163) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 538705 + ... + 602081.

Almost surely, 236149797161 is an apocalyptic number.

36149797161 is the 190131-st square number.

36149797161 is the 95066-th centered octagonal number.

It is an amenable number.

36149797161 is a deficient number, since it is larger than the sum of its proper divisors (16067400430).

36149797161 is an frugal number, since it uses more digits than its factorization.

36149797161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126760 (or 63380 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 36149797161 in words is "thirty-six billion, one hundred forty-nine million, seven hundred ninety-seven thousand, one hundred sixty-one".

Divisors: 1 3 9 63377 190131 570393 4016644129 12049932387 36149797161