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10306640023236 = 22336710131406077
BaseRepresentation
bin1001010111111011001110…
…0111100000111011000100
31100111022020110112102002000
42111332303213200323010
52322330444321220421
633530445520545300
72112426101500164
oct225766347407304
940438213472060
1010306640023236
113314026666027
1211a55b4a82230
13599bb1822a5b
14278bb60845a4
1512d175511226
hex95fb39e0ec4

10306640023236 has 96 divisors (see below), whose sum is σ = 27146529271680. Its totient is φ = 3380926614912.

The previous prime is 10306640023223. The next prime is 10306640023241. The reversal of 10306640023236 is 63232004660301.

10306640023236 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 640 + 0 + 2 + 3 + 2 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10306640023236.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6627030 + ... + 8033106.

It is an arithmetic number, because the mean of its divisors is an integer number (282776346580).

Almost surely, 210306640023236 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 10306640023236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573264635840).

10306640023236 is an abundant number, since it is smaller than the sum of its proper divisors (16839889248444).

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

10306640023236 is a wasteful number, since it uses less digits than its factorization.

10306640023236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407170 (or 1407162 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 10306640023236 its reverse (63232004660301), we get a palindrome (73538644683537).

The spelling of 10306640023236 in words is "ten trillion, three hundred six billion, six hundred forty million, twenty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1013 1206 1809 2026 2412 3039 3618 4052 6078 7236 9117 12156 18234 27351 36468 54702 67871 109404 135742 203613 271484 407226 610839 814452 1221678 1406077 1832517 2443356 2812154 3665034 4218231 5624308 7330068 8436462 12654693 16872924 25309386 37964079 50618772 75928158 94207159 151856316 188414318 282621477 376828636 565242954 847864431 1130485908 1424356001 1695728862 2543593293 2848712002 3391457724 4273068003 5087186586 5697424004 8546136006 10174373172 12819204009 17092272012 25638408018 38457612027 51276816036 76915224054 95431852067 153830448108 190863704134 286295556201 381727408268 572591112402 858886668603 1145182224804 1717773337206 2576660005809 3435546674412 5153320011618 10306640023236