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12289019904 = 21232747623
BaseRepresentation
bin10110111000111101…
…11001000000000000
31011201102221220010100
423130132321000000
5200131442114104
65351232202400
7613350642240
oct133436710000
934642856110
1012289019904
1152369165a7
12246b699400
13120acb9915
14848173b20
154bdd11139
hex2dc7b9000

12289019904 has 156 divisors (see below), whose sum is σ = 40569171136. Its totient is φ = 3511074816.

The previous prime is 12289019893. The next prime is 12289019917. The reversal of 12289019904 is 40991098221.

It is a self number, because there is not a number n which added to its sum of digits gives 12289019904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234237 + ... + 281859.

Almost surely, 212289019904 is an apocalyptic number.

12289019904 is a gapful number since it is divisible by the number (14) 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 12289019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284585568).

12289019904 is an abundant number, since it is smaller than the sum of its proper divisors (28280151232).

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

12289019904 is an equidigital number, since it uses as much as digits as its factorization.

12289019904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47660 (or 47635 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12289019904 in words is "twelve billion, two hundred eighty-nine million, nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 28672 32256 36864 43008 47623 64512 86016 95246 129024 142869 190492 258048 285738 333361 380984 428607 571476 666722 761968 857214 1000083 1142952 1333444 1523936 1714428 2000166 2285904 2666888 3000249 3047872 3428856 4000332 4571808 5333776 6000498 6095744 6857712 8000664 9143616 10667552 12000996 12191488 13715424 16001328 18287232 21335104 24001992 24382976 27430848 32002656 36574464 42670208 48003984 48765952 54861696 64005312 73148928 85340416 96007968 97531904 109723392 128010624 146297856 170680832 192015936 195063808 219446784 256021248 292595712 341361664 384031872 438893568 512042496 585191424 682723328 768063744 877787136 1024084992 1365446656 1536127488 1755574272 2048169984 3072254976 4096339968 6144509952 12289019904