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12979175280 = 2435508710631
BaseRepresentation
bin11000001011001111…
…00111111101110000
31020111112121102022120
430011213213331300
5203040132102110
65543524434240
7636431112111
oct140547477560
936445542276
1012979175280
115560451545
122622848980
1312bac90096
148b1aa8208
1550e6db870
hex3059e7f70

12979175280 has 80 divisors (see below), whose sum is σ = 40247138304. Its totient is φ = 3460107520.

The previous prime is 12979175273. The next prime is 12979175281. The reversal of 12979175280 is 8257197921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12979175281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215565 + ... + 1226195.

Almost surely, 212979175280 is an apocalyptic number.

12979175280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12979175280 is an abundant number, since it is smaller than the sum of its proper divisors (27267963024).

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

12979175280 is a wasteful number, since it uses less digits than its factorization.

12979175280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15734 (or 15728 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 12979175280 in words is "twelve billion, nine hundred seventy-nine million, one hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5087 10174 10631 15261 20348 21262 25435 30522 31893 40696 42524 50870 53155 61044 63786 76305 81392 85048 101740 106310 122088 127572 152610 159465 170096 203480 212620 244176 255144 305220 318930 406960 425240 510288 610440 637860 850480 1220880 1275720 2551440 54079897 108159794 162239691 216319588 270399485 324479382 432639176 540798970 648958764 811198455 865278352 1081597940 1297917528 1622396910 2163195880 2595835056 3244793820 4326391760 6489587640 12979175280