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2173113712 = 247118919819
BaseRepresentation
bin1000000110000111…
…0001010101110000
312121110002121121001
42001201301111300
513422304114322
6555345211344
7104565106330
oct20141612560
95543077531
102173113712
11a15736550
12507930b54
132882a9a03
1416887d0c0
15cabaa827
hex81871570

2173113712 has 80 divisors (see below), whose sum is σ = 5308588800. Its totient is φ = 837112320.

The previous prime is 2173113647. The next prime is 2173113721.

2173113712 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 99739 + ... + 119557.

It is an arithmetic number, because the mean of its divisors is an integer number (66357360).

Almost surely, 22173113712 is an apocalyptic number.

2173113712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2173113712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654294400).

2173113712 is an abundant number, since it is smaller than the sum of its proper divisors (3135475088).

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

2173113712 is a wasteful number, since it uses less digits than its factorization.

2173113712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19934 (or 19928 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 2173113712 is about 46616.6677487784. The cubic root of 2173113712 is about 1295.2715225991.

The spelling of 2173113712 in words is "two billion, one hundred seventy-three million, one hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 89 112 154 176 178 308 356 616 623 712 979 1232 1246 1424 1958 2492 3916 4984 6853 7832 9968 13706 15664 19819 27412 39638 54824 79276 109648 138733 158552 218009 277466 317104 436018 554932 872036 1109864 1526063 1744072 1763891 2219728 3052126 3488144 3527782 6104252 7055564 12208504 12347237 14111128 19402801 24417008 24694474 28222256 38805602 49388948 77611204 98777896 135819607 155222408 197555792 271639214 310444816 543278428 1086556856 2173113712