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182930229248 = 2111327272
BaseRepresentation
bin1010101001011101111…
…1011100100000000000
3122111011201111111002212
42222113133130200000
510444120114313443
6220011553401252
716134116202344
oct2522737344000
9574151444085
10182930229248
1170642388848
122b552b69228
1314333a3a700
148bd503d624
154b59ab9618
hex2a977dc800

182930229248 has 108 divisors (see below), whose sum is σ = 396617256945. Its totient is φ = 84313202688.

The previous prime is 182930229241. The next prime is 182930229259. The reversal of 182930229248 is 842922039281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 156410758144 + 26519471104 = 395488^2 + 162848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=302432.

It is a junction number, because it is equal to n+sod(n) for n = 182930229196 and 182930229205.

It is not an unprimeable number, because it can be changed into a prime (182930229241) 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 8 ways as a sum of consecutive naturals, for example, 251623061 + ... + 251623787.

Almost surely, 2182930229248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182930229248

182930229248 is an abundant number, since it is smaller than the sum of its proper divisors (213687027697).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

182930229248 is an frugal number, since it uses more digits than its factorization.

182930229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

Multiplying 182930229248 by its sum of digits (50), we get a square (9146511462400 = 30243202).

The spelling of 182930229248 in words is "one hundred eighty-two billion, nine hundred thirty million, two hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 727 832 1024 1352 1454 1664 2048 2704 2908 3328 5408 5816 6656 9451 10816 11632 13312 18902 21632 23264 26624 37804 43264 46528 75608 86528 93056 122863 151216 173056 186112 245726 302432 346112 372224 491452 528529 604864 744448 982904 1057058 1209728 1488896 1965808 2114116 2419456 3931616 4228232 4838912 6870877 7863232 8456464 9677824 13741754 15726464 16912928 19355648 27483508 31452928 33825856 54967016 62905856 67651712 89321401 109934032 125811712 135303424 178642802 219868064 251623424 270606848 357285604 439736128 541213696 714571208 879472256 1082427392 1429142416 1758944512 2858284832 3517889024 5716569664 7035778048 11433139328 14071556096 22866278656 45732557312 91465114624 182930229248