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12349559936 = 277107128813
BaseRepresentation
bin10111000000001011…
…10101010010000000
31011212122212122102202
423200011311102000
5200242441404221
65401233532332
7615014345630
oct134005652200
934778778382
1012349559936
11526800618a
122487a140a8
13121a6c561c
148522126c0
154c42bdd0b
hex2e0175480

12349559936 has 64 divisors (see below), whose sum is σ = 28380300480. Its totient is φ = 5243163648.

The previous prime is 12349559923. The next prime is 12349559977. The reversal of 12349559936 is 63995594321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×123495599362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31466 + ... + 160278.

It is an arithmetic number, because the mean of its divisors is an integer number (443442195).

Almost surely, 212349559936 is an apocalyptic number.

12349559936 is a gapful number since it is divisible by the number (16) 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 12349559936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190150240).

12349559936 is an abundant number, since it is smaller than the sum of its proper divisors (16030740544).

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

12349559936 is a wasteful number, since it uses less digits than its factorization.

12349559936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128941 (or 128929 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 56.

The spelling of 12349559936 in words is "twelve billion, three hundred forty-nine million, five hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 428 448 749 856 896 1498 1712 2996 3424 5992 6848 11984 13696 23968 47936 95872 128813 257626 515252 901691 1030504 1803382 2061008 3606764 4122016 7213528 8244032 13782991 14427056 16488064 27565982 28854112 55131964 57708224 96480937 110263928 115416448 192961874 220527856 385923748 441055712 771847496 882111424 1543694992 1764222848 3087389984 6174779968 12349559936