Search a number
-
+
10822414086 = 23211377391999
BaseRepresentation
bin10100001010001000…
…01110111100000110
31000221020021121011100
422011010032330012
5134131014222321
64545521520530
7532122000441
oct120504167406
930836247140
1010822414086
114653a74980
1221204a3146
1310361ba523
14749484658
154351b1326
hex28510ef06

10822414086 has 96 divisors (see below), whose sum is σ = 26320320000. Its totient is φ = 3184971840.

The previous prime is 10822414067. The next prime is 10822414103. The reversal of 10822414086 is 68041422801.

10822414086 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 241 + 408 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10822414086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5412915 + ... + 5414913.

It is an arithmetic number, because the mean of its divisors is an integer number (274170000).

Almost surely, 210822414086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10822414086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160160000).

10822414086 is an abundant number, since it is smaller than the sum of its proper divisors (15497905914).

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

10822414086 is a wasteful number, since it uses less digits than its factorization.

10822414086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 10822414086 its reverse (68041422801), we get a palindrome (78863836887).

The spelling of 10822414086 in words is "ten billion, eight hundred twenty-two million, four hundred fourteen thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 739 814 1221 1478 1999 2217 2442 3663 3998 4434 5997 6651 7326 8129 11994 13302 16258 17991 21989 24387 27343 35982 43978 48774 54686 65967 73161 73963 82029 131934 146322 147926 164058 197901 221889 246087 300773 395802 443778 492174 601546 665667 813593 902319 1331334 1477261 1627186 1804638 2440779 2706957 2954522 4431783 4881558 5413914 7322337 8863566 13295349 14644674 16249871 26590698 32499742 48749613 54658657 97499226 109317314 146248839 163975971 292497678 327951942 491927913 601245227 983855826 1202490454 1803735681 3607471362 5411207043 10822414086