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12334442848 = 257138594931
BaseRepresentation
bin10110111110011000…
…01010100101100000
31011211121102121200121
423133030022211200
5200230104132343
65355533530024
7614442014530
oct133714124540
934747377617
1012334442848
11525a520522
122482943914
1312175318c0
148501d94c0
154c2cd4aed
hex2df30a960

12334442848 has 96 divisors (see below), whose sum is σ = 29928165120. Its totient is φ = 4872890880.

The previous prime is 12334442839. The next prime is 12334442863. The reversal of 12334442848 is 84824443321.

It is a happy number.

It is a super-3 number, since 3×123344428483 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498943 + ... + 2503873.

It is an arithmetic number, because the mean of its divisors is an integer number (311751720).

Almost surely, 212334442848 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 12334442848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964082560).

12334442848 is an abundant number, since it is smaller than the sum of its proper divisors (17593722272).

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

12334442848 is a wasteful number, since it uses less digits than its factorization.

12334442848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 5812 counting only the distinct ones).

The product of its digits is 589824, while the sum is 43.

The spelling of 12334442848 in words is "twelve billion, three hundred thirty-four million, four hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 859 1456 1718 2912 3436 4931 6013 6872 9862 11167 12026 13744 19724 22334 24052 27488 34517 39448 44668 48104 64103 69034 78169 78896 89336 96208 128206 138068 156338 157792 178672 192416 256412 276136 312676 357344 448721 512824 552272 625352 897442 1025648 1104544 1250704 1794884 2051296 2501408 3589768 4235729 7179536 8471458 14359072 16942916 29650103 33885832 55064477 59300206 67771664 110128954 118600412 135543328 220257908 237200824 385451339 440515816 474401648 770902678 881031632 948803296 1541805356 1762063264 3083610712 6167221424 12334442848