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4455250525544 = 2371361722874337
BaseRepresentation
bin100000011010101000110…
…0111111111110101101000
3120202220210001212120112212
41000311101213333311220
51040443323113304134
613250414104424252
7636611155425410
oct100652147776550
916686701776485
104455250525544
111468508856625
125bb55a478088
13264188c00030
141158c72a9640
157ad58189bce
hex40d519ffd68

4455250525544 has 128 divisors (see below), whose sum is σ = 10304889154560. Its totient is φ = 1758485127168.

The previous prime is 4455250525511. The next prime is 4455250525679.

4455250525544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4455250525492 and 4455250525501.

It is an unprimeable number.

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, 1027263344 + ... + 1027267680.

It is an arithmetic number, because the mean of its divisors is an integer number (80506946520).

Almost surely, 24455250525544 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 4455250525544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152444577280).

4455250525544 is an abundant number, since it is smaller than the sum of its proper divisors (5849638629016).

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

4455250525544 is a wasteful number, since it uses less digits than its factorization.

4455250525544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 16000000, while the sum is 50.

The spelling of 4455250525544 in words is "four trillion, four hundred fifty-five billion, two hundred fifty million, five hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 617 728 1234 2287 2468 4319 4337 4574 4936 8021 8638 8674 9148 16009 16042 17276 17348 18296 29731 30359 32018 32084 34552 34696 56147 56381 59462 60718 64036 64168 112294 112762 118924 121436 128072 208117 224588 225524 237848 242872 394667 416234 449176 451048 789334 832468 1411079 1578668 1664936 2675929 2822158 3157336 5351858 5644316 9877553 9918719 10703716 11288632 18344027 18731503 19755106 19837438 21407432 34787077 36688054 37463006 39510212 39674876 69431033 69574154 73376108 74926012 79020424 79349752 128408189 128943347 138862066 139148308 146752216 149852024 243509539 256816378 257886694 277724132 278296616 487019078 513632756 515773388 555448264 902603429 974038156 1027265512 1031546776 1805206858 1948076312 3610413716 6119849623 7220827432 12239699246 24479398492 42838947361 48958796984 79558045099 85677894722 159116090198 171355789444 318232180396 342711578888 556906315693 636464360792 1113812631386 2227625262772 4455250525544