Search a number
-
+
1089860383248 = 243713467534283
BaseRepresentation
bin11111101110000001011…
…11011011001000010000
310212012010020120212102120
433313000233123020100
5120324013224230443
62152401442214240
7141511520256450
oct17670057331020
93765106525376
101089860383248
1139023085693a
12157280054380
137ba091b6050
143aa6c99dd60
151d53a715083
hexfdc0bdb210

1089860383248 has 160 divisors (see below), whose sum is σ = 3472623737856. Its totient is φ = 286819674624.

The previous prime is 1089860383237. The next prime is 1089860383259. The reversal of 1089860383248 is 8423830689801.

1089860383248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1089860383237) and next prime (1089860383259).

It is a junction number, because it is equal to n+sod(n) for n = 1089860383191 and 1089860383200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772715 + ... + 2306997.

Almost surely, 21089860383248 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 1089860383248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736311868928).

1089860383248 is an abundant number, since it is smaller than the sum of its proper divisors (2382763354608).

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

1089860383248 is a wasteful number, since it uses less digits than its factorization.

1089860383248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534781 (or 534775 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 1089860383248 in words is "one trillion, eighty-nine billion, eight hundred sixty million, three hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 467 546 624 728 934 1092 1401 1456 1868 2184 2802 3269 3736 4368 5604 6071 6538 7472 9807 11208 12142 13076 18213 19614 22416 24284 26152 36426 39228 42497 48568 52304 72852 78456 84994 97136 127491 145704 156912 169988 254982 291408 339976 509964 534283 679952 1019928 1068566 1602849 2039856 2137132 3205698 3739981 4274264 6411396 6945679 7479962 8548528 11219943 12822792 13891358 14959924 20837037 22439886 25645584 27782716 29919848 41674074 44879772 48619753 55565432 59839696 83348148 89759544 97239506 111130864 145859259 166696296 179519088 194479012 249510161 291718518 333392592 388958024 499020322 583437036 748530483 777916048 998040644 1166874072 1497060966 1746571127 1996081288 2333748144 2994121932 3243632093 3493142254 3992162576 5239713381 5988243864 6487264186 6986284508 9730896279 10479426762 11976487728 12974528372 13972569016 19461792558 20958853524 22705424651 25949056744 27945138032 38923585116 41917707048 45410849302 51898113488 68116273953 77847170232 83835414096 90821698604 136232547906 155694340464 181643397208 272465095812 363286794416 544930191624 1089860383248