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12248746368 = 27337984163
BaseRepresentation
bin10110110100001010…
…10000100110000000
31011121122011210012220
423122011100212000
5200041134340433
65343233051040
7612351424545
oct133205204600
934548153186
1012248746368
115216109491
12245a0b6a80
131202858721
14842a8cbcc
154ba5082b3
hex2da150980

12248746368 has 64 divisors (see below), whose sum is σ = 32621966400. Its totient is φ = 4072094208.

The previous prime is 12248746343. The next prime is 12248746373. The reversal of 12248746368 is 86364784221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12248746368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103455 + ... + 187617.

It is an arithmetic number, because the mean of its divisors is an integer number (509718225).

Almost surely, 212248746368 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 12248746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310983200).

12248746368 is an abundant number, since it is smaller than the sum of its proper divisors (20373220032).

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

12248746368 is an equidigital number, since it uses as much as digits as its factorization.

12248746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84559 (or 84547 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 12248746368 in words is "twelve billion, two hundred forty-eight million, seven hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 379 384 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 48512 72768 84163 145536 168326 252489 336652 504978 673304 1009956 1346608 2019912 2693216 4039824 5386432 8079648 10772864 16159296 31897777 32318592 63795554 95693331 127591108 191386662 255182216 382773324 510364432 765546648 1020728864 1531093296 2041457728 3062186592 4082915456 6124373184 12248746368