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32033420034 = 23721110396167
BaseRepresentation
bin11101110101010101…
…110011001100000010
310001200110112100021020
4131311111303030002
51011101023420114
622414351210310
72212550402100
oct356525631402
9101613470236
1032033420034
1112649037660
12625bb16996
133036741015
14179c522c70
15c773ddaa9
hex775573302

32033420034 has 96 divisors (see below), whose sum is σ = 82092082176. Its totient is φ = 8239502880.

The previous prime is 32033420011. The next prime is 32033420047. The reversal of 32033420034 is 43002433023.

It is a super-2 number, since 2×320334200342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32033419986 and 32033420013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285019 + ... + 381185.

It is an arithmetic number, because the mean of its divisors is an integer number (855125856).

Almost surely, 232033420034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32033420034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41046041088).

32033420034 is an abundant number, since it is smaller than the sum of its proper divisors (50058662142).

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

32033420034 is a wasteful number, since it uses less digits than its factorization.

32033420034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96300 (or 96293 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 32033420034 its reverse (43002433023), we get a palindrome (75035853057).

The spelling of 32033420034 in words is "thirty-two billion, thirty-three million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 103 147 154 206 231 294 309 462 539 618 721 1078 1133 1442 1617 2163 2266 3234 3399 4326 5047 6798 7931 10094 15141 15862 23793 30282 47586 55517 96167 111034 166551 192334 288501 333102 577002 673169 1057837 1346338 2019507 2115674 3173511 4039014 4712183 6347022 7404859 9424366 9905201 14136549 14809718 19810402 22214577 28273098 29715603 44429154 51834013 59431206 69336407 103668026 108957211 138672814 155502039 208009221 217914422 311004078 326871633 416018442 485354849 653743266 762700477 970709698 1456064547 1525400954 2288101431 2912129094 4576202862 5338903339 10677806678 16016710017 32033420034