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82323232328 = 2379181719659
BaseRepresentation
bin100110010101011011…
…0001101011001001000
321212111020200111121202
41030222312031121020
52322044221413303
6101452504323332
75643021633461
oct1145266153110
9255436614552
1082323232328
1131a053559a7
1213b55a73548
1379bc5526bc
143dad533d68
15221c42dc88
hex132ad8d648

82323232328 has 32 divisors (see below), whose sum is σ = 157173744000. Its totient is φ = 40415993280.

The previous prime is 82323232301. The next prime is 82323232337.

82323232328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×823232323282 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82323232291 and 82323232300.

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 7 ways as a sum of consecutive naturals, for example, 245438 + ... + 474221.

It is an arithmetic number, because the mean of its divisors is an integer number (4911679500).

Almost surely, 282323232328 is an apocalyptic number.

It is an amenable number.

82323232328 is a deficient number, since it is larger than the sum of its proper divisors (74850511672).

82323232328 is a wasteful number, since it uses less digits than its factorization.

82323232328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719925 (or 719921 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

It can be divided in two parts, 8232323232 and 8, that multiplied together give a palindrome (65858585856).

The spelling of 82323232328 in words is "eighty-two billion, three hundred twenty-three million, two hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 79 158 181 316 362 632 724 1448 14299 28598 57196 114392 719659 1439318 2878636 5757272 56853061 113706122 130258279 227412244 260516558 454824488 521033116 1042066232 10290404041 20580808082 41161616164 82323232328