Search a number
-
+
69329292396 = 223713199319037
BaseRepresentation
bin100000010010001011…
…0010000110001101100
320121221200021222000020
41000210112100301230
52113441244324041
651503251202140
75003021155620
oct1004426206154
9217850258006
1069329292396
112744763a571
121152a2a6350
1366cb4c3150
1434d9905180
151c0b7c7866
hex1024590c6c

69329292396 has 96 divisors (see below), whose sum is σ = 200100633600. Its totient is φ = 18192708864.

The previous prime is 69329292377. The next prime is 69329292419.

69329292396 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57790 + ... + 376826.

It is an arithmetic number, because the mean of its divisors is an integer number (2084381600).

Almost surely, 269329292396 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 69329292396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100050316800).

69329292396 is an abundant number, since it is smaller than the sum of its proper divisors (130771341204).

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

69329292396 is a wasteful number, since it uses less digits than its factorization.

69329292396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319263 (or 319261 counting only the distinct ones).

The product of its digits is 17006112, while the sum is 60.

The spelling of 69329292396 in words is "sixty-nine billion, three hundred twenty-nine million, two hundred ninety-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 199 273 364 398 546 597 796 1092 1194 1393 2388 2587 2786 4179 5174 5572 7761 8358 10348 15522 16716 18109 31044 36218 54327 72436 108654 217308 319037 638074 957111 1276148 1914222 2233259 3828444 4147481 4466518 6699777 8294962 8933036 12442443 13399554 16589924 24884886 26799108 29032367 49769772 58064734 63488363 87097101 116129468 126976726 174194202 190465089 253953452 348388404 380930178 444418541 761860356 825348719 888837082 1333255623 1650697438 1777674164 2476046157 2666511246 3301394876 4952092314 5333022492 5777441033 9904184628 11554882066 17332323099 23109764132 34664646198 69329292396