Search a number
-
+
10025227008 = 28336912099
BaseRepresentation
bin10010101011000110…
…01101001100000000
3221212200020022002000
421111203031030000
5131012424231013
64334443224000
7503302011036
oct112543151400
927780208060
1010025227008
114284a85485
121b39518000
13c39cb0ab4
146b164c556
153da1e2973
hex2558cd300

10025227008 has 144 divisors (see below), whose sum is σ = 29703408000. Its totient is φ = 3335316480.

The previous prime is 10025226979. The next prime is 10025227027. The reversal of 10025227008 is 80072252001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 4775143 + ... + 4777241.

Almost surely, 210025227008 is an apocalyptic number.

10025227008 is a gapful number since it is divisible by the number (18) 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 10025227008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851704000).

10025227008 is an abundant number, since it is smaller than the sum of its proper divisors (19678180992).

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

10025227008 is an equidigital number, since it uses as much as digits as its factorization.

10025227008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 10025227008 its reverse (80072252001), we get a palindrome (90097479009).

It can be divided in two parts, 100252 and 27008, that added together give a triangular number (127260 = T504).

The spelling of 10025227008 in words is "ten billion, twenty-five million, two hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 691 768 864 1152 1382 1728 2073 2099 2304 2764 3456 4146 4198 5528 6219 6297 6912 8292 8396 11056 12438 12594 16584 16792 18657 18891 22112 24876 25188 33168 33584 37314 37782 44224 49752 50376 56673 66336 67168 74628 75564 88448 99504 100752 113346 132672 134336 149256 151128 176896 199008 201504 226692 265344 268672 298512 302256 398016 403008 453384 530688 537344 597024 604512 796032 806016 906768 1194048 1209024 1450409 1592064 1612032 1813536 2388096 2418048 2900818 3627072 4351227 4776192 4836096 5801636 7254144 8702454 11603272 13053681 14508288 17404908 23206544 26107362 34809816 39161043 46413088 52214724 69619632 78322086 92826176 104429448 139239264 156644172 185652352 208858896 278478528 313288344 371304704 417717792 556957056 626576688 835435584 1113914112 1253153376 1670871168 2506306752 3341742336 5012613504 10025227008