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12298307424 = 2531314966137
BaseRepresentation
bin10110111010000100…
…10100011101100000
31011202002102202012120
423131002110131200
5200141331314144
65352203224240
7613522613454
oct133502243540
934662382176
1012298307424
11524108a437
122472818080
13120cbbc0b0
148494b0664
154bea47e19
hex2dd094760

12298307424 has 96 divisors (see below), whose sum is σ = 35000229600. Its totient is φ = 3758641152.

The previous prime is 12298307423. The next prime is 12298307431. The reversal of 12298307424 is 42470389221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12298307423) 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, 152884 + ... + 219020.

It is an arithmetic number, because the mean of its divisors is an integer number (364585725).

Almost surely, 212298307424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12298307424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500114800).

12298307424 is an abundant number, since it is smaller than the sum of its proper divisors (22701922176).

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

12298307424 is a wasteful number, since it uses less digits than its factorization.

12298307424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66312 (or 66304 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12298307424 in words is "twelve billion, two hundred ninety-eight million, three hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 149 156 208 298 312 416 447 596 624 894 1192 1248 1788 1937 2384 3576 3874 4768 5811 7152 7748 11622 14304 15496 23244 30992 46488 61984 66137 92976 132274 185952 198411 264548 396822 529096 793644 859781 1058192 1587288 1719562 2116384 2579343 3174576 3439124 5158686 6349152 6878248 9854413 10317372 13756496 19708826 20634744 27512992 29563239 39417652 41269488 59126478 78835304 82538976 118252956 128107369 157670608 236505912 256214738 315341216 384322107 473011824 512429476 768644214 946023648 1024858952 1537288428 2049717904 3074576856 4099435808 6149153712 12298307424