Search a number
-
+
8456448428376 = 23313291193978283
BaseRepresentation
bin111101100001110101110…
…0110101100100101011000
31002221102120102122001020120
41323003223212230211120
52102022301244202001
625552501101553240
71531646450433564
oct173035346544530
932842512561216
108456448428376
1127703a5751333
12b46abb575820
13494593c374c0
142134197506a4
15e9e893b9236
hex7b0eb9ac958

8456448428376 has 128 divisors (see below), whose sum is σ = 23554716192000. Its totient is φ = 2512018027008.

The previous prime is 8456448428371. The next prime is 8456448428381. The reversal of 8456448428376 is 6738248446548.

It is an interprime number because it is at equal distance from previous prime (8456448428371) and next prime (8456448428381).

It is a self number, because there is not a number n which added to its sum of digits gives 8456448428376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8456448428371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107984931 + ... + 108063213.

It is an arithmetic number, because the mean of its divisors is an integer number (184021220250).

Almost surely, 28456448428376 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 8456448428376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777358096000).

8456448428376 is an abundant number, since it is smaller than the sum of its proper divisors (15098267763624).

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

8456448428376 is a wasteful number, since it uses less digits than its factorization.

8456448428376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90273 (or 90269 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 69.

The spelling of 8456448428376 in words is "eight trillion, four hundred fifty-six billion, four hundred forty-eight million, four hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 11939 23878 35817 47756 71634 78283 95512 143268 155207 156566 234849 286536 310414 313132 346231 465621 469698 620828 626264 692462 931242 939396 1017679 1038693 1241656 1384924 1862484 1878792 2035358 2077386 2270207 2769848 3053037 3724968 4070716 4154772 4501003 4540414 6106074 6810621 8141432 8309544 9002006 9080828 12212148 13503009 13621242 18004012 18161656 24424296 27006018 27242484 29512691 36008024 54012036 54484968 59025382 88538073 108024072 118050764 177076146 236101528 354152292 708304584 934620737 1869241474 2803862211 3738482948 5607724422 7476965896 11215448844 12150069581 22430897688 24300139162 27104001373 36450208743 48600278324 54208002746 72900417486 81312004119 97200556648 108416005492 145800834972 162624008238 216832010984 291601669944 325248016476 352352017849 650496032952 704704035698 1057056053547 1409408071396 2114112107094 2818816142792 4228224214188 8456448428376