Search a number
-
+
6314059856 = 24131031991481
BaseRepresentation
bin1011110000101100…
…01110100001010000
3121022001000110210202
411320112032201100
5100412344403411
62522312114332
7312316423526
oct57026164120
917261013722
106314059856
112750138695
1212826959a8
1379817a2c0
1443c802316
1526e4c283b
hex17858e850

6314059856 has 80 divisors (see below), whose sum is σ = 13378310400. Its totient is φ = 2869447680.

The previous prime is 6314059831. The next prime is 6314059903. The reversal of 6314059856 is 6589504136.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6314059856.

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, 4262636 + ... + 4264116.

It is an arithmetic number, because the mean of its divisors is an integer number (167228880).

Almost surely, 26314059856 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 6314059856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689155200).

6314059856 is an abundant number, since it is smaller than the sum of its proper divisors (7064250544).

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

6314059856 is a wasteful number, since it uses less digits than its factorization.

6314059856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The square root of 6314059856 is about 79461.0587394857. The cubic root of 6314059856 is about 1848.2876637830.

The spelling of 6314059856 in words is "six billion, three hundred fourteen million, fifty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 103 104 199 206 208 398 412 796 824 1339 1481 1592 1648 2587 2678 2962 3184 5174 5356 5924 10348 10712 11848 19253 20497 20696 21424 23696 38506 40994 41392 77012 81988 152543 154024 163976 266461 294719 305086 308048 327952 532922 589438 610172 1065844 1178876 1220344 1983059 2131688 2357752 2440688 3831347 3966118 4263376 4715504 7662694 7932236 15325388 15864472 30356057 30650776 31728944 60712114 61301552 121424228 242848456 394628741 485696912 789257482 1578514964 3157029928 6314059856