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32828366596 = 22172734
BaseRepresentation
bin11110100100101110…
…010001111100000100
310010201212100210221111
4132210232101330010
51014213030212341
623025305454404
72241342340414
oct364456217404
9103655323844
1032828366596
1112a16836793
1264421a1404
1331323449bc
141835d34644
15cc20b8681
hex7a4b91f04

32828366596 has 45 divisors (see below), whose sum is σ = 61875428489. Its totient is φ = 15237017856.

The previous prime is 32828366581. The next prime is 32828366603. The reversal of 32828366596 is 69566382823.

It is a happy number.

The square root of 32828366596 is 181186.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3950122500 + 28878244096 = 62850^2 + 169936^2 .

It is a super-2 number, since 2×328283665962 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32828366596.

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 14 ways as a sum of consecutive naturals, for example, 449703616 + ... + 449703688.

Almost surely, 232828366596 is an apocalyptic number.

32828366596 is the 181186-th square number.

It is an amenable number.

32828366596 is a deficient number, since it is larger than the sum of its proper divisors (29047061893).

32828366596 is an frugal number, since it uses more digits than its factorization.

32828366596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 92 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 58.

It can be divided in two parts, 32828 and 366596, that added together give a square (399424 = 6322).

The spelling of 32828366596 in words is "thirty-two billion, eight hundred twenty-eight million, three hundred sixty-six thousand, five hundred ninety-six".

Divisors: 1 2 4 17 34 68 73 146 289 292 578 1156 1241 2482 4964 5329 10658 21097 21316 42194 84388 90593 181186 362372 389017 778034 1540081 1556068 3080162 6160324 6613289 13226578 26453156 28398241 56796482 112425913 113592964 224851826 449703652 482770097 965540194 1931080388 8207091649 16414183298 32828366596