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132683162049 = 31014992
BaseRepresentation
bin111101110010010001…
…0000110000111000001
3110200110220210000000000
41323210202012013001
54133213342141144
6140542004350213
712405004161144
oct1734442060701
9420426700000
10132683162049
11512a8205529
122186b3a5369
13c686a44199
1465c999805b
1536b86be769
hex1ee48861c1

132683162049 has 33 divisors (see below), whose sum is σ = 199156479073. Its totient is φ = 88396431732.

The previous prime is 132683161997. The next prime is 132683162069. The reversal of 132683162049 is 940261386231.

The square root of 132683162049 is 364257.

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

132683162049 is a `hidden beast` number, since 1 + 326 + 8 + 316 + 2 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 132683162049 - 29 = 132683161537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132683161995 and 132683162013.

It is not an unprimeable number, because it can be changed into a prime (132683162069) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 88513702 + ... + 88515200.

Almost surely, 2132683162049 is an apocalyptic number.

132683162049 is the 364257-th square number.

132683162049 is the 182129-th centered octagonal number.

It is an amenable number.

132683162049 is a deficient number, since it is larger than the sum of its proper divisors (66473317024).

132683162049 is an frugal number, since it uses more digits than its factorization.

132683162049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 132683162049 in words is "one hundred thirty-two billion, six hundred eighty-three million, one hundred sixty-two thousand, forty-nine".

Divisors: 1 3 9 27 81 243 729 1499 2187 4497 6561 13491 19683 40473 59049 121419 364257 1092771 2247001 3278313 6741003 9834939 20223009 29504817 60669027 88514451 182007081 546021243 1638063729 4914191187 14742573561 44227720683 132683162049