Search a number
-
+
104600457066 = 237191259104113
BaseRepresentation
bin110000101101010101…
…1000100111101101010
3100222222210012202221110
41201122223010331222
53203210204111231
6120015222451150
710362045133530
oct1413253047552
9328883182843
10104600457066
11403a725a636
1218332593ab6
139b2c959aa1
1450c403a150
152ac306d046
hex185aac4f6a

104600457066 has 64 divisors (see below), whose sum is σ = 251872588800. Its totient is φ = 28290145536.

The previous prime is 104600457053. The next prime is 104600457121. The reversal of 104600457066 is 660754006401.

It is a super-3 number, since 3×1046004570663 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 952626 + ... + 1056738.

It is an arithmetic number, because the mean of its divisors is an integer number (3935509200).

Almost surely, 2104600457066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104600457066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125936294400).

104600457066 is an abundant number, since it is smaller than the sum of its proper divisors (147272131734).

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

104600457066 is a wasteful number, since it uses less digits than its factorization.

104600457066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105403.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 104600457066 in words is "one hundred four billion, six hundred million, four hundred fifty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1259 2518 3777 7554 8813 17626 23921 26439 47842 52878 71763 104113 143526 167447 208226 312339 334894 502341 624678 728791 1004682 1457582 1978147 2186373 3956294 4372746 5934441 11868882 13847029 27694058 41541087 83082174 131078267 262156534 393234801 786469602 917547869 1835095738 2490487073 2752643607 4980974146 5505287214 7471461219 14942922438 17433409511 34866819022 52300228533 104600457066