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12930928344 = 23331922913759
BaseRepresentation
bin11000000101011111…
…00100111011011000
31020101011211012222000
430002233210323120
5202440304201334
65535042401000
7635304035355
oct140257447330
936334735860
1012930928344
115536198944
12260a660160
1312b0c998b9
148a950962c
1550a35b299
hex302be4ed8

12930928344 has 128 divisors (see below), whose sum is σ = 37977600000. Its totient is φ = 4065323904.

The previous prime is 12930928327. The next prime is 12930928369. The reversal of 12930928344 is 44382903921.

12930928344 is a `hidden beast` number, since 1 + 29 + 309 + 283 + 44 = 666.

12930928344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12930928344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932937 + ... + 946695.

It is an arithmetic number, because the mean of its divisors is an integer number (296700000).

Almost surely, 212930928344 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 12930928344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988800000).

12930928344 is an abundant number, since it is smaller than the sum of its proper divisors (25046671656).

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

12930928344 is a wasteful number, since it uses less digits than its factorization.

12930928344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14022 (or 14012 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12930928344 in words is "twelve billion, nine hundred thirty million, nine hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 229 342 456 458 513 684 687 916 1026 1368 1374 1832 2052 2061 2748 4104 4122 4351 5496 6183 8244 8702 12366 13053 13759 16488 17404 24732 26106 27518 34808 39159 41277 49464 52212 55036 78318 82554 104424 110072 117477 123831 156636 165108 234954 247662 261421 313272 330216 371493 469908 495324 522842 742986 784263 939816 990648 1045684 1485972 1568526 2091368 2352789 2971944 3137052 3150811 4705578 6274104 6301622 7058367 9411156 9452433 12603244 14116734 18822312 18904866 25206488 28233468 28357299 37809732 56466936 56714598 59865409 75619464 85071897 113429196 119730818 170143794 179596227 226858392 239461636 340287588 359192454 478923272 538788681 680575176 718384908 1077577362 1436769816 1616366043 2155154724 3232732086 4310309448 6465464172 12930928344