Search a number
-
+
6281870056 = 23711172112843
BaseRepresentation
bin1011101100110110…
…11011101011101000
3121012210110001200221
411312123123223220
5100331124320211
62515202135424
7311446004650
oct56633335350
917183401627
106281870056
112733a51a50
121273951574
137915b9697
14438423360
1526b764c71
hex1766dbae8

6281870056 has 128 divisors (see below), whose sum is σ = 15627893760. Its totient is φ = 2291788800.

The previous prime is 6281870051. The next prime is 6281870081. The reversal of 6281870056 is 6500781826.

It is a junction number, because it is equal to n+sod(n) for n = 6281869994 and 6281870021.

It is not an unprimeable number, because it can be changed into a prime (6281870051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2208171 + ... + 2211013.

It is an arithmetic number, because the mean of its divisors is an integer number (122092920).

Almost surely, 26281870056 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 6281870056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813946880).

6281870056 is an abundant number, since it is smaller than the sum of its proper divisors (9346023704).

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

6281870056 is a wasteful number, since it uses less digits than its factorization.

6281870056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 6281870056 is about 79258.2491353424. The cubic root of 6281870056 is about 1845.1413836420.

The spelling of 6281870056 in words is "six billion, two hundred eighty-one million, eight hundred seventy thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 211 238 308 374 422 476 616 748 844 952 1309 1477 1496 1688 2321 2618 2843 2954 3587 4642 5236 5686 5908 7174 9284 10472 11372 11816 14348 16247 18568 19901 22744 25109 28696 31273 32494 39457 39802 48331 50218 62546 64988 78914 79604 96662 100436 125092 129976 157828 159208 193324 200872 218911 250184 276199 315656 338317 386648 437822 531641 552398 599873 676634 875644 1063282 1104796 1199746 1353268 1751288 2126564 2209592 2399492 2706536 3721487 4199111 4253128 4798984 6598603 7442974 8398222 10197841 13197206 14885948 16796444 20395682 26394412 29771896 33592888 40791364 46190221 52788824 71384887 81582728 92380442 112176251 142769774 184760884 224352502 285539548 369521768 448705004 571079096 785233757 897410008 1570467514 3140935028 6281870056