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12293273340 = 22335148915289
BaseRepresentation
bin10110111001011110…
…00111011011111100
31011201201221222202000
423130233013123330
5200134034221330
65351503302300
7613432046025
oct133457073374
934651858660
1012293273340
115239261237
122470baa990
13120bb4894a
1484895dc4c
154be3a1560
hex2dcbc76fc

12293273340 has 96 divisors (see below), whose sum is σ = 38273928000. Its totient is φ = 3275790336.

The previous prime is 12293273287. The next prime is 12293273383. The reversal of 12293273340 is 4337239221.

12293273340 is a `hidden beast` number, since 1 + 2 + 293 + 27 + 3 + 340 = 666.

It is a super-2 number, since 2×122932733402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12293273295 and 12293273304.

It is a congruent number.

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, 796416 + ... + 811704.

It is an arithmetic number, because the mean of its divisors is an integer number (398686750).

Almost surely, 212293273340 is an apocalyptic number.

12293273340 is a gapful number since it is divisible by the number (10) 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 12293273340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136964000).

12293273340 is an abundant number, since it is smaller than the sum of its proper divisors (25980654660).

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

12293273340 is a wasteful number, since it uses less digits than its factorization.

12293273340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 16788 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 12293273340 in words is "twelve billion, two hundred ninety-three million, two hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1489 2978 4467 5956 7445 8934 13401 14890 15289 17868 22335 26802 29780 30578 40203 44670 45867 53604 61156 67005 76445 80406 89340 91734 134010 137601 152890 160812 183468 201015 229335 268020 275202 305780 402030 412803 458670 550404 688005 804060 825606 917340 1376010 1651212 2064015 2752020 4128030 8256060 22765321 45530642 68295963 91061284 113826605 136591926 204887889 227653210 273183852 341479815 409775778 455306420 614663667 682959630 819551556 1024439445 1229327334 1365919260 2048878890 2458654668 3073318335 4097757780 6146636670 12293273340