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12832303708288 = 271031974940731
BaseRepresentation
bin1011101010111100000011…
…1001110111100010000000
31200102202102022100020211101
42322233000321313202000
53140221024222131123
643143025015024144
72463050306551051
oct272570071674200
950382368306741
1012832303708288
1140a81709a6779
121532ba066b054
137211090a433c
14325130304728
15173be71e1aad
hexbabc0e77880

12832303708288 has 64 divisors (see below), whose sum is σ = 25943586102720. Its totient is φ = 6321604746240.

The previous prime is 12832303708229. The next prime is 12832303708331. The reversal of 12832303708288 is 88280730323821.

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

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, 126883 + ... + 5067613.

It is an arithmetic number, because the mean of its divisors is an integer number (405368532855).

Almost surely, 212832303708288 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 12832303708288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971793051360).

12832303708288 is an abundant number, since it is smaller than the sum of its proper divisors (13111282394432).

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

12832303708288 is a wasteful number, since it uses less digits than its factorization.

12832303708288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941045 (or 4941033 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 12832303708288 in words is "twelve trillion, eight hundred thirty-two billion, three hundred three million, seven hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 197 206 394 412 788 824 1576 1648 3152 3296 6304 6592 12608 13184 20291 25216 40582 81164 162328 324656 649312 1298624 2597248 4940731 9881462 19762924 39525848 79051696 158103392 316206784 508895293 632413568 973324007 1017790586 1946648014 2035581172 3893296028 4071162344 7786592056 8142324688 15573184112 16284649376 31146368224 32569298752 62292736448 65138597504 100252372721 124585472896 200504745442 401009490884 802018981768 1604037963536 3208075927072 6416151854144 12832303708288