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82148000755 = 5173223425869
BaseRepresentation
bin100110010000001100…
…1110000001111110011
321212001000221211002111
41030200121300033303
52321214342011010
6101423244430151
75635463325322
oct1144031601763
9255030854074
1082148000755
113192544a917
1213b07248357
13799215b092
143d9415c0b9
15220bd6858a
hex13206703f3

82148000755 has 16 divisors (see below), whose sum is σ = 99592254720. Its totient is φ = 65045374848.

The previous prime is 82148000731. The next prime is 82148000821. The reversal of 82148000755 is 55700084128.

It is a cyclic number.

It is not a de Polignac number, because 82148000755 - 29 = 82148000243 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20040 + ... + 405829.

It is an arithmetic number, because the mean of its divisors is an integer number (6224515920).

Almost surely, 282148000755 is an apocalyptic number.

82148000755 is a deficient number, since it is larger than the sum of its proper divisors (17444253965).

82148000755 is a wasteful number, since it uses less digits than its factorization.

82148000755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426270.

The product of its (nonzero) digits is 89600, while the sum is 40.

The spelling of 82148000755 in words is "eighty-two billion, one hundred forty-eight million, seven hundred fifty-five", and thus it is an aban number.

Divisors: 1 5 173 223 865 1115 38579 192895 425869 2129345 73675337 94968787 368376685 474843935 16429600151 82148000755