Search a number
-
+
6317466140 = 22529411132351
BaseRepresentation
bin1011110001000110…
…01110001000011100
3121022021102112100102
411320203032020130
5100414232404030
62522513120232
7312360401426
oct57043161034
917267375312
106317466140
1127520548a7
121283859078
13798aa085b
1443d04b816
1526e946c45
hex1788ce21c

6317466140 has 96 divisors (see below), whose sum is σ = 14189333760. Its totient is φ = 2358272000.

The previous prime is 6317466121. The next prime is 6317466157. The reversal of 6317466140 is 416647136.

It is a junction number, because it is equal to n+sod(n) for n = 6317466094 and 6317466103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2685965 + ... + 2688315.

It is an arithmetic number, because the mean of its divisors is an integer number (147805560).

Almost surely, 26317466140 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 6317466140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094666880).

6317466140 is an abundant number, since it is smaller than the sum of its proper divisors (7871867620).

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

6317466140 is a wasteful number, since it uses less digits than its factorization.

6317466140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 6317466140 is about 79482.4895181322. The cubic root of 6317466140 is about 1848.6199730017.

The spelling of 6317466140 in words is "six billion, three hundred seventeen million, four hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 113 116 145 164 205 226 290 410 452 565 580 820 1130 1189 2260 2351 2378 3277 4633 4702 4756 5945 6554 9266 9404 11755 11890 13108 16385 18532 23165 23510 23780 32770 46330 47020 65540 68179 92660 96391 134357 136358 192782 265663 268714 272716 340895 385564 481955 531326 537428 671785 681790 963910 1062652 1328315 1343570 1363580 1927820 2656630 2687140 2795339 5313260 5590678 7704227 10892183 11181356 13976695 15408454 21784366 27953390 30816908 38521135 43568732 54460915 55906780 77042270 108921830 154084540 217843660 315873307 631746614 1263493228 1579366535 3158733070 6317466140