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81617661 = 321992229
BaseRepresentation
bin1001101110101…
…10001011111101
312200120121101100
410313112023331
5131343231121
612033203313
72010511236
oct467261375
9180517340
1081617661
1142086614
1223400539
1313ba8798
14aba808d
157273026
hex4dd62fd

81617661 has 18 divisors (see below), whose sum is σ = 119004990. Its totient is φ = 53901936.

The previous prime is 81617647. The next prime is 81617677. The reversal of 81617661 is 16671618.

It can be written as a sum of positive squares in only one way, i.e., 80192025 + 1425636 = 8955^2 + 1194^2 .

It is not a de Polignac number, because 81617661 - 29 = 81617149 is a prime.

It is a super-2 number, since 2×816176612 = 13322885174221842, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81617611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 356295 + ... + 356523.

Almost surely, 281617661 is an apocalyptic number.

It is an amenable number.

81617661 is a deficient number, since it is larger than the sum of its proper divisors (37387329).

81617661 is a wasteful number, since it uses less digits than its factorization.

81617661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 431 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 81617661 is about 9034.2493324017. The cubic root of 81617661 is about 433.7718668366.

The spelling of 81617661 in words is "eighty-one million, six hundred seventeen thousand, six hundred sixty-one".

Divisors: 1 3 9 199 229 597 687 1791 2061 39601 45571 118803 136713 356409 410139 9068629 27205887 81617661