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12345444036 = 22332512691693
BaseRepresentation
bin10110111111101100…
…01000011011000100
31011212101010112111000
423133312020123010
5200240413202121
65401005413300
7614634354132
oct133766103304
934771115430
1012345444036
115265754912
12248656a230
1312198b4093
14851860752
154c3c59526
hex2dfd886c4

12345444036 has 96 divisors (see below), whose sum is σ = 32272732800. Its totient is φ = 4081104000.

The previous prime is 12345444017. The next prime is 12345444037. The reversal of 12345444036 is 63044454321.

12345444036 is a `hidden beast` number, since 12 + 34 + 544 + 40 + 36 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12345444037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7291206 + ... + 7292898.

It is an arithmetic number, because the mean of its divisors is an integer number (336174300).

Almost surely, 212345444036 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 12345444036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136366400).

12345444036 is an abundant number, since it is smaller than the sum of its proper divisors (19927288764).

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

12345444036 is a wasteful number, since it uses less digits than its factorization.

12345444036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12345444036 its reverse (63044454321), we get a palindrome (75389898357).

The spelling of 12345444036 in words is "twelve billion, three hundred forty-five million, four hundred forty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 269 502 538 753 807 1004 1076 1506 1614 1693 2259 2421 3012 3228 3386 4518 4842 5079 6772 6777 7263 9036 9684 10158 13554 14526 15237 20316 27108 29052 30474 45711 60948 67519 91422 135038 182844 202557 270076 405114 424943 455417 607671 810228 849886 910834 1215342 1274829 1366251 1699772 1821668 1823013 2430684 2549658 2732502 3646026 3824487 4098753 5099316 5465004 7292052 7648974 8197506 11473461 12296259 15297948 16395012 22946922 24592518 45893844 49185036 114309667 228619334 342929001 457238668 685858002 1028787003 1371716004 2057574006 3086361009 4115148012 6172722018 12345444036