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12081934848 = 2939298467
BaseRepresentation
bin10110100000010001…
…11011001000000000
31011012000021212211110
423100020323020000
5144220433403343
65314513443320
7605254515564
oct132010731000
934160255743
1012081934848
11513aa34525
122412270540
1311a7121799
148288696a4
154aaa57833
hex2d023b200

12081934848 has 80 divisors (see below), whose sum is σ = 32225482080. Its totient is φ = 4022501376.

The previous prime is 12081934841. The next prime is 12081934859. The reversal of 12081934848 is 84843918021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12081934797 and 12081934806.

It is not an unprimeable number, because it can be changed into a prime (12081934841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1422711 + ... + 1431177.

It is an arithmetic number, because the mean of its divisors is an integer number (402818526).

Almost surely, 212081934848 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 12081934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112741040).

12081934848 is an abundant number, since it is smaller than the sum of its proper divisors (20143547232).

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

12081934848 is an frugal number, since it uses more digits than its factorization.

12081934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 12081934848 in words is "twelve billion, eighty-one million, nine hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 929 1536 1858 2787 3716 5574 7432 8467 11148 14864 16934 22296 25401 29728 33868 44592 50802 59456 67736 89184 101604 118912 135472 178368 203208 237824 270944 356736 406416 475648 541888 713472 812832 1083776 1426944 1625664 2167552 3251328 4335104 6502656 7865843 13005312 15731686 23597529 31463372 47195058 62926744 94390116 125853488 188780232 251706976 377560464 503413952 755120928 1006827904 1510241856 2013655808 3020483712 4027311616 6040967424 12081934848