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82649260331 = 1136559205519
BaseRepresentation
bin100110011111001000…
…1111010000100101011
321220022222011102221222
41030332101322010223
52323231202312311
6101545112252255
75654061056441
oct1147621720453
9256288142858
1082649260331
1132062397630
12140270a108b
137a41c64591
144000960b91
15223ad7eadb
hex133e47a12b

82649260331 has 8 divisors (see below), whose sum is σ = 90165734400. Its totient is φ = 75133270440.

The previous prime is 82649260289. The next prime is 82649260367. The reversal of 82649260331 is 13306294628.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82649260331 is a prime.

It is a super-2 number, since 2×826492603312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82649260381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299390 + ... + 504908.

It is an arithmetic number, because the mean of its divisors is an integer number (11270716800).

Almost surely, 282649260331 is an apocalyptic number.

82649260331 is a deficient number, since it is larger than the sum of its proper divisors (7516474069).

82649260331 is a wasteful number, since it uses less digits than its factorization.

82649260331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242089.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 82649260331 in words is "eighty-two billion, six hundred forty-nine million, two hundred sixty thousand, three hundred thirty-one".

Divisors: 1 11 36559 205519 402149 2260709 7513569121 82649260331