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12329154880 = 265710515237
BaseRepresentation
bin10110111101101111…
…11111100101000000
31011211020110221221221
423132313333211000
5200222230424010
65355224324424
7614346041650
oct133667774500
934736427857
1012329154880
1152575395a9
122481013714
1312163cca23
1484d620360
154c25dcdda
hex2dedff940

12329154880 has 112 divisors (see below), whose sum is σ = 33591252096. Its totient is φ = 4222310400.

The previous prime is 12329154869. The next prime is 12329154883. The reversal of 12329154880 is 8845192321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12329154883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2351622 + ... + 2356858.

Almost surely, 212329154880 is an apocalyptic number.

12329154880 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 12329154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795626048).

12329154880 is an abundant number, since it is smaller than the sum of its proper divisors (21262097216).

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

12329154880 is a wasteful number, since it uses less digits than its factorization.

12329154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 12329154880 in words is "twelve billion, three hundred twenty-nine million, one hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1051 1120 2102 2240 4204 5237 5255 7357 8408 10474 10510 14714 16816 20948 21020 26185 29428 33632 36659 36785 41896 42040 52370 58856 67264 73318 73570 83792 84080 104740 117712 146636 147140 167584 168160 183295 209480 235424 293272 294280 335168 336320 366590 418960 470848 586544 588560 733180 837920 1173088 1177120 1466360 1675840 2346176 2354240 2932720 5504087 5865440 11008174 11730880 22016348 27520435 38528609 44032696 55040870 77057218 88065392 110081740 154114436 176130784 192643045 220163480 308228872 352261568 385286090 440326960 616457744 770572180 880653920 1232915488 1541144360 1761307840 2465830976 3082288720 6164577440 12329154880