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12439426480 = 24513531271777
BaseRepresentation
bin10111001010111001…
…01001010110110000
31012002220222100011021
423211130221112300
5200433443121410
65414204025224
7620155244335
oct134534512660
935086870137
1012439426480
115303806258
1224b1b32214
1312331cb8b0
1486012698c
154cc120eda
hex2e57295b0

12439426480 has 160 divisors (see below), whose sum is σ = 32001951744. Its totient is φ = 4468359168.

The previous prime is 12439426471. The next prime is 12439426523. The reversal of 12439426480 is 8462493421.

12439426480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6999352 + ... + 7001128.

Almost surely, 212439426480 is an apocalyptic number.

12439426480 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 12439426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000975872).

12439426480 is an abundant number, since it is smaller than the sum of its proper divisors (19562525264).

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

12439426480 is a wasteful number, since it uses less digits than its factorization.

12439426480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 12439426480 in words is "twelve billion, four hundred thirty-nine million, four hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 127 130 208 212 254 260 265 424 508 520 530 635 689 848 1016 1040 1060 1270 1378 1651 1777 2032 2120 2540 2756 3302 3445 3554 4240 5080 5512 6604 6731 6890 7108 8255 8885 10160 11024 13208 13462 13780 14216 16510 17770 23101 26416 26924 27560 28432 33020 33655 35540 46202 53848 55120 66040 67310 71080 87503 92404 94181 107696 115505 132080 134620 142160 175006 184808 188362 225679 231010 269240 350012 369616 376724 437515 451358 462020 470905 538480 700024 753448 875030 902716 924040 941810 1128395 1224353 1400048 1506896 1750060 1805432 1848080 1883620 2256790 2448706 2933827 3500120 3610864 3767240 4513580 4897412 5867654 6121765 7000240 7534480 9027160 9794824 11735308 11960987 12243530 14669135 18054320 19589648 23470616 23921974 24487060 29338270 46941232 47843948 48974120 58676540 59804935 95687896 97948240 117353080 119609870 155492831 191375792 234706160 239219740 310985662 478439480 621971324 777464155 956878960 1243942648 1554928310 2487885296 3109856620 6219713240 12439426480