Search a number
-
+
12426075648 = 29337128411
BaseRepresentation
bin10111001001010011…
…01101111000000000
31012001222212001021000
423210221231320000
5200422033410043
65413005532000
7616633620540
oct134451557000
935058761230
1012426075648
1152a7217608
1224a9574000
131230505aac
1485c44d320
154cad852d3
hex2e4a6de00

12426075648 has 160 divisors (see below), whose sum is σ = 42036952320. Its totient is φ = 3550279680.

The previous prime is 12426075647. The next prime is 12426075661. The reversal of 12426075648 is 84657062421.

12426075648 is a `hidden beast` number, since 1 + 24 + 2 + 60 + 7 + 564 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12426075647) 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, 32563 + ... + 160973.

It is an arithmetic number, because the mean of its divisors is an integer number (262730952).

Almost surely, 212426075648 is an apocalyptic number.

12426075648 is a gapful number since it is divisible by the number (18) 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 12426075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018476160).

12426075648 is an abundant number, since it is smaller than the sum of its proper divisors (29610876672).

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

12426075648 is an equidigital number, since it uses as much as digits as its factorization.

12426075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128445 (or 128423 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12426075648 in words is "twelve billion, four hundred twenty-six million, seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 96768 128411 256822 385233 513644 770466 898877 1027288 1155699 1540932 1797754 2054576 2311398 2696631 3081864 3467097 3595508 4109152 4622796 5393262 6163728 6934194 7191016 8089893 8218304 9245592 10786524 12327456 13868388 14382032 16179786 16436608 18491184 21573048 24269679 24654912 27736776 28764064 32359572 32873216 36982368 43146096 48539358 49309824 55473552 57528128 64719144 65746432 73964736 86292192 97078716 98619648 110947104 115056256 129438288 147929472 172584384 194157432 197239296 221894208 230112512 258876576 295858944 345168768 388314864 443788416 460225024 517753152 591717888 690337536 776629728 887576832 1035506304 1380675072 1553259456 1775153664 2071012608 3106518912 4142025216 6213037824 12426075648