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2068688648 = 231337613877
BaseRepresentation
bin111101101001101…
…1010111100001000
312100011121021100002
41323103122330020
513214041014043
6541135102132
7102156364145
oct17323327410
95304537302
102068688648
119717a2444
12498971948
1326c777030
14158a593cc
15c192ebb8
hex7b4daf08

2068688648 has 64 divisors (see below), whose sum is σ = 4301954160. Its totient is φ = 926401536.

The previous prime is 2068688623. The next prime is 2068688651. The reversal of 2068688648 is 8468868602.

It can be written as a sum of positive squares in 8 ways, for example, as 742126564 + 1326562084 = 27242^2 + 36422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2068688593 and 2068688602.

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 15 ways as a sum of consecutive naturals, for example, 2358386 + ... + 2359262.

Almost surely, 22068688648 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 2068688648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150977080).

2068688648 is an abundant number, since it is smaller than the sum of its proper divisors (2233265512).

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

2068688648 is a wasteful number, since it uses less digits than its factorization.

2068688648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 56.

The square root of 2068688648 is about 45482.8390494701. The cubic root of 2068688648 is about 1274.1827181625.

The spelling of 2068688648 in words is "two billion, sixty-eight million, six hundred eighty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 613 877 962 1226 1754 1924 2452 3508 3848 4904 7016 7969 11401 15938 22681 22802 31876 32449 45362 45604 63752 64898 90724 91208 129796 181448 259592 294853 421837 537601 589706 843674 1075202 1179412 1687348 2150404 2358824 3374696 4300808 6988813 13977626 19891237 27955252 39782474 55910504 79564948 159129896 258586081 517172162 1034344324 2068688648