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12882372096 = 293111940129
BaseRepresentation
bin10111111111101100…
…10110011000000000
31020020210110022022110
423333312112120000
5202340341401341
65530145535320
7634144233066
oct137766263000
936223408273
1012882372096
115510843910
1225b6344540
1312a3bc86a9
148a2caa036
15505e69216
hex2ffd96600

12882372096 has 160 divisors (see below), whose sum is σ = 39410870400. Its totient is φ = 3698196480.

The previous prime is 12882372073. The next prime is 12882372119. The reversal of 12882372096 is 69027328821.

It is an interprime number because it is at equal distance from previous prime (12882372073) and next prime (12882372119).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300960 + ... + 341088.

It is an arithmetic number, because the mean of its divisors is an integer number (246317940).

Almost surely, 212882372096 is an apocalyptic number.

12882372096 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 12882372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705435200).

12882372096 is an abundant number, since it is smaller than the sum of its proper divisors (26528498304).

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

12882372096 is a wasteful number, since it uses less digits than its factorization.

12882372096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40180 (or 40164 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 12882372096 in words is "twelve billion, eight hundred eighty-two million, three hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 512 528 608 627 704 768 836 912 1056 1216 1254 1408 1536 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 5632 6688 7296 8448 9728 10032 13376 14592 16896 20064 26752 29184 40128 40129 53504 80256 80258 107008 120387 160512 160516 240774 321024 321032 441419 481548 642064 762451 882838 963096 1284128 1324257 1524902 1765676 1926192 2287353 2568256 2648514 3049804 3531352 3852384 4574706 5136512 5297028 6099608 7062704 7704768 8386961 9149412 10273024 10594056 12199216 14125408 15409536 16773922 18298824 20546048 21188112 24398432 25160883 28250816 30819072 33547844 36597648 42376224 48796864 50321766 56501632 61638144 67095688 73195296 84752448 97593728 100643532 113003264 134191376 146390592 169504896 195187456 201287064 226006528 268382752 292781184 339009792 390374912 402574128 536765504 585562368 678019584 805148256 1073531008 1171124736 1610296512 2147062016 3220593024 4294124032 6441186048 12882372096