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2118563028 = 2232235714481
BaseRepresentation
bin111111001000110…
…1011010011010100
312110122110011010100
41332101223103110
513314323004103
6550120054100
7103333326411
oct17621532324
95418404110
102118563028
1199796783a
124b1604330
13279bba1ba
1416151d108
15c5ed25a3
hex7e46b4d4

2118563028 has 72 divisors (see below), whose sum is σ = 5599129536. Its totient is φ = 674150400.

The previous prime is 2118563009. The next prime is 2118563053. The reversal of 2118563028 is 8203658112.

It is a happy number.

2118563028 is a `hidden beast` number, since 2 + 1 + 18 + 5 + 630 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2118562983 and 2118563001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470548 + ... + 475028.

It is an arithmetic number, because the mean of its divisors is an integer number (77765688).

Almost surely, 22118563028 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 2118563028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799564768).

2118563028 is an abundant number, since it is smaller than the sum of its proper divisors (3480566508).

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

2118563028 is a wasteful number, since it uses less digits than its factorization.

2118563028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2118563028 is about 46027.8505689762. The cubic root of 2118563028 is about 1284.3413437253.

The spelling of 2118563028 in words is "two billion, one hundred eighteen million, five hundred sixty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 571 828 1142 1713 2284 3426 4481 5139 6852 8962 10278 13133 13443 17924 20556 26266 26886 39399 40329 52532 53772 78798 80658 103063 118197 157596 161316 206126 236394 309189 412252 472788 618378 927567 1236756 1855134 2558651 3710268 5117302 7675953 10234604 15351906 23027859 30703812 46055718 58848973 92111436 117697946 176546919 235395892 353093838 529640757 706187676 1059281514 2118563028