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33047041482 = 23272134170297
BaseRepresentation
bin11110110001110000…
…011101010111001010
310011022002211122111100
4132301300131113022
51020140020311412
623103120442230
72246636134500
oct366160352712
9104262748440
1033047041482
1113019214434
1264a3479376
13316873a220
141856db8670
15cd63b0edc
hex7b1c1d5ca

33047041482 has 144 divisors (see below), whose sum is σ = 91888202952. Its totient is φ = 8503004160.

The previous prime is 33047041481. The next prime is 33047041513. The reversal of 33047041482 is 28414074033.

It can be written as a sum of positive squares in 4 ways, for example, as 18001320561 + 15045720921 = 134169^2 + 122661^2 .

It is not an unprimeable number, because it can be changed into a prime (33047041481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 434958 + ... + 505254.

Almost surely, 233047041482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33047041482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45944101476).

33047041482 is an abundant number, since it is smaller than the sum of its proper divisors (58841161470).

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

33047041482 is a wasteful number, since it uses less digits than its factorization.

33047041482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70373 (or 70363 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 33047041482 in words is "thirty-three billion, forty-seven million, forty-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 49 63 78 82 91 98 117 123 126 147 182 234 246 273 287 294 369 441 533 546 574 637 738 819 861 882 1066 1274 1599 1638 1722 1911 2009 2583 3198 3731 3822 4018 4797 5166 5733 6027 7462 9594 11193 11466 12054 18081 22386 26117 33579 36162 52234 67158 70297 78351 140594 156702 210891 235053 421782 470106 492079 632673 913861 984158 1265346 1476237 1827722 2741583 2882177 2952474 3444553 4428711 5483166 5764354 6397027 6889106 8224749 8646531 8857422 10333659 12794054 16449498 17293062 19191081 20175239 20667318 25939593 31000977 37468301 38382162 40350478 44779189 51879186 57573243 60525717 62001954 74936602 89558378 112404903 115146486 121051434 134337567 141226673 181577151 224809806 262278107 268675134 282453346 337214709 363154302 403012701 423680019 524556214 674429418 786834321 806025402 847360038 1271040057 1573668642 1835946749 2360502963 2542080114 3671893498 4721005926 5507840247 11015680494 16523520741 33047041482