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12348389872 = 2471311937109
BaseRepresentation
bin10111000000000010…
…10111100111110000
31011212120200012102001
423200001113213300
5200242141433442
65401152503344
7615001403440
oct134001274760
934776605361
1012348389872
115267387095
12248754ab54
13121a3a5b90
14851dca120
154c413c2b7
hex2e00579f0

12348389872 has 80 divisors (see below), whose sum is σ = 29474988480. Its totient is φ = 4880295936.

The previous prime is 12348389869. The next prime is 12348389873. The reversal of 12348389872 is 27898384321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348389873) 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, 1733454 + ... + 1740562.

It is an arithmetic number, because the mean of its divisors is an integer number (368437356).

Almost surely, 212348389872 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 12348389872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737494240).

12348389872 is an abundant number, since it is smaller than the sum of its proper divisors (17126598608).

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

12348389872 is a wasteful number, since it uses less digits than its factorization.

12348389872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330 (or 8324 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

It can be divided in two parts, 12348 and 389872, that multiplied together give a square (4814139456 = 693842).

The spelling of 12348389872 in words is "twelve billion, three hundred forty-eight million, three hundred eighty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1193 1456 2386 4772 7109 8351 9544 14218 15509 16702 19088 28436 31018 33404 49763 56872 62036 66808 92417 99526 108563 113744 124072 133616 184834 199052 217126 248144 369668 398104 434252 646919 739336 796208 868504 1293838 1478672 1737008 2587676 5175352 8481037 10350704 16962074 33924148 59367259 67848296 110253481 118734518 135696592 220506962 237469036 441013924 474938072 771774367 882027848 949876144 1543548734 1764055696 3087097468 6174194936 12348389872