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82290828241 = 1632232263909
BaseRepresentation
bin100110010100011101…
…0100110001111010001
321212101222201012120101
41030220322212033101
52322012423000431
6101445350012401
75642146333066
oct1145072461721
9255358635511
1082290828241
1131999033266
1213b47047101
1379b591839b
143da90dac6d
15221967c961
hex1328ea63d1

82290828241 has 8 divisors (see below), whose sum is σ = 83166997760. Its totient is φ = 81419187312.

The previous prime is 82290828223. The next prime is 82290828253. The reversal of 82290828241 is 14282809228.

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

It is a cyclic number.

It is not a de Polignac number, because 82290828241 - 211 = 82290826193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82290828191 and 82290828200.

It is not an unprimeable number, because it can be changed into a prime (82290828281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095606 + ... + 1168303.

It is an arithmetic number, because the mean of its divisors is an integer number (10395874720).

Almost surely, 282290828241 is an apocalyptic number.

It is an amenable number.

82290828241 is a deficient number, since it is larger than the sum of its proper divisors (876169519).

82290828241 is a wasteful number, since it uses less digits than its factorization.

82290828241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264295.

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 82290828241 in words is "eighty-two billion, two hundred ninety million, eight hundred twenty-eight thousand, two hundred forty-one".

Divisors: 1 163 223 36349 2263909 369017167 504851707 82290828241