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12334924080 = 2433535915907
BaseRepresentation
bin10110111110011100…
…00000000100110000
31011211122100001211000
423133032000010300
5200230220032310
65355552122000
7614446060533
oct133716000460
934748301730
1012334924080
11525a81a036
122482b36300
13121766c95b
148502c2a1a
154c2d7c4c0
hex2df380130

12334924080 has 160 divisors (see below), whose sum is σ = 42607987200. Its totient is φ = 3279944448.

The previous prime is 12334924067. The next prime is 12334924097. The reversal of 12334924080 is 8042943321.

12334924080 is a `hidden beast` number, since 1 + 2 + 334 + 9 + 240 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767487 + ... + 783393.

It is an arithmetic number, because the mean of its divisors is an integer number (266299920).

Almost surely, 212334924080 is an apocalyptic number.

12334924080 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 12334924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21303993600).

12334924080 is an abundant number, since it is smaller than the sum of its proper divisors (30273063120).

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

12334924080 is a wasteful number, since it uses less digits than its factorization.

12334924080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16288 (or 16276 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12334924080 in words is "twelve billion, three hundred thirty-four million, nine hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 359 360 432 540 718 720 1077 1080 1436 1795 2154 2160 2872 3231 3590 4308 5385 5744 6462 7180 8616 9693 10770 12924 14360 15907 16155 17232 19386 21540 25848 28720 31814 32310 38772 43080 47721 48465 51696 63628 64620 77544 79535 86160 95442 96930 127256 129240 143163 155088 159070 190884 193860 238605 254512 258480 286326 318140 381768 387720 429489 477210 572652 636280 715815 763536 775440 858978 954420 1145304 1272560 1431630 1717956 1908840 2147445 2290608 2863260 3435912 3817680 4294890 5710613 5726520 6871824 8589780 11421226 11453040 17131839 17179560 22842452 28553065 34263678 34359120 45684904 51395517 57106130 68527356 85659195 91369808 102791034 114212260 137054712 154186551 171318390 205582068 228424520 256977585 274109424 308373102 342636780 411164136 456849040 513955170 616746204 685273560 770932755 822328272 1027910340 1233492408 1370547120 1541865510 2055820680 2466984816 3083731020 4111641360 6167462040 12334924080