Search a number
-
+
104305171572 = 223271972717753
BaseRepresentation
bin110000100100100010…
…0101001110001110100
3100222020012120201101200
41201021010221301310
53202104110442242
6115530033452500
710351531221060
oct1411104516164
9328205521350
10104305171572
1140265606238
121826b711130
139ab371cb44
145096b32aa0
152aa719104c
hex1849129c74

104305171572 has 144 divisors (see below), whose sum is σ = 304012380672. Its totient is φ = 29536980480.

The previous prime is 104305171561. The next prime is 104305171577. The reversal of 104305171572 is 275171503401.

104305171572 is a `hidden beast` number, since 1 + 0 + 4 + 30 + 51 + 7 + 1 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104305171577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13449648 + ... + 13457400.

It is an arithmetic number, because the mean of its divisors is an integer number (2111197088).

Almost surely, 2104305171572 is an apocalyptic number.

104305171572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104305171572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152006190336).

104305171572 is an abundant number, since it is smaller than the sum of its proper divisors (199707209100).

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

104305171572 is a wasteful number, since it uses less digits than its factorization.

104305171572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 104305171572 its reverse (275171503401), we get a palindrome (379476674973).

The spelling of 104305171572 in words is "one hundred four billion, three hundred five million, one hundred seventy-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 271 394 542 591 788 813 1084 1182 1379 1626 1773 1897 2364 2439 2758 3252 3546 3794 4137 4878 5516 5691 7092 7588 7753 8274 9756 11382 12411 15506 16548 17073 22764 23259 24822 31012 34146 46518 49644 53387 54271 68292 69777 93036 106774 108542 139554 160161 162813 213548 217084 279108 320322 325626 373709 480483 488439 640644 651252 747418 960966 976878 1121127 1494836 1527341 1921932 1953756 2101063 2242254 3054682 3363381 4202126 4484508 4582023 6109364 6303189 6726762 8404252 9164046 10691387 12606378 13453524 13746069 14707441 18328092 18909567 21382774 25212756 27492138 29414882 32074161 37819134 42765548 44122323 54984276 58829764 64148322 75638268 88244646 96222483 128296644 132366969 176489292 192444966 264733938 384889932 413909411 529467876 827818822 1241728233 1655637644 2483456466 2897365877 3725184699 4966912932 5794731754 7450369398 8692097631 11589463508 14900738796 17384195262 26076292893 34768390524 52152585786 104305171572