Search a number
-
+
32829713088 = 263295896141
BaseRepresentation
bin11110100100110011…
…011010101011000000
310010201221220012222120
4132210303122223000
51014213401304323
623025354404240
72241356646144
oct364463325300
9103657805876
1032829713088
1112a17576397
126442730680
1331326c6843
1418361a5224
15cc22825e3
hex7a4cdaac0

32829713088 has 56 divisors (see below), whose sum is σ = 89857204080. Its totient is φ = 10565882880.

The previous prime is 32829713087. The next prime is 32829713089. The reversal of 32829713088 is 88031792823.

It is an interprime number because it is at equal distance from previous prime (32829713087) and next prime (32829713089).

It is a super-2 number, since 2×328297130882 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32829713088.

It is not an unprimeable number, because it can be changed into a prime (32829713083) 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 7 ways as a sum of consecutive naturals, for example, 2942503 + ... + 2953638.

It is an arithmetic number, because the mean of its divisors is an integer number (1604592930).

Almost surely, 232829713088 is an apocalyptic number.

It is an amenable number.

32829713088 is an abundant number, since it is smaller than the sum of its proper divisors (57027490992).

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

32829713088 is a wasteful number, since it uses less digits than its factorization.

32829713088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896185 (or 5896175 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 32829713088 in words is "thirty-two billion, eight hundred twenty-nine million, seven hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 5896141 11792282 17688423 23584564 35376846 47169128 70753692 94338256 141507384 170988089 188676512 283014768 341976178 377353024 512964267 566029536 683952356 1025928534 1132059072 1367904712 2051857068 2735809424 4103714136 5471618848 8207428272 10943237696 16414856544 32829713088