Search a number
-
+
2059344064 = 26416471213
BaseRepresentation
bin111101010111111…
…0001100011000000
312022112000111222101
41322233301203000
513204143002224
6540202520144
7102014064361
oct17257614300
95275014871
102059344064
1196749a748
12495806054
1326a8548ab
14157705b68
15c0bd6044
hex7abf18c0

2059344064 has 56 divisors (see below), whose sum is σ = 4196108448. Its totient is φ = 1002178560.

The previous prime is 2059344061. The next prime is 2059344073. The reversal of 2059344064 is 4604439502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2059344061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1697122 + ... + 1698334.

It is an arithmetic number, because the mean of its divisors is an integer number (74930508).

Almost surely, 22059344064 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 2059344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098054224).

2059344064 is an abundant number, since it is smaller than the sum of its proper divisors (2136764384).

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

2059344064 is a wasteful number, since it uses less digits than its factorization.

2059344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2059344064 is about 45379.9962979285. The cubic root of 2059344064 is about 1272.2612624742.

The spelling of 2059344064 in words is "two billion, fifty-nine million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 647 656 1213 1294 1312 2426 2588 2624 4852 5176 9704 10352 19408 20704 26527 38816 41408 49733 53054 77632 99466 106108 198932 212216 397864 424432 784811 795728 848864 1569622 1591456 1697728 3139244 3182912 6278488 12556976 25113952 32177251 50227904 64354502 128709004 257418008 514836016 1029672032 2059344064