Search a number
-
+
471491431026 = 237113894495843
BaseRepresentation
bin1101101110001110001…
…01000100101001110010
31200002000001022100121120
412313013011010221302
530211103301243101
61000333345403110
746030666016040
oct6670705045162
91602001270546
10471491431026
11171a5a6916a0
1277465639496
13355cca67855
1418b6accb390
15c3e7e0eb36
hex6dc7144a72

471491431026 has 128 divisors (see below), whose sum is σ = 1181516544000. Its totient is φ = 121857576960.

The previous prime is 471491431001. The next prime is 471491431067. The reversal of 471491431026 is 620134194174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80690461 + ... + 80696303.

It is an arithmetic number, because the mean of its divisors is an integer number (9230598000).

Almost surely, 2471491431026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471491431026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590758272000).

471491431026 is an abundant number, since it is smaller than the sum of its proper divisors (710025112974).

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

471491431026 is a wasteful number, since it uses less digits than its factorization.

471491431026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 471491431026 in words is "four hundred seventy-one billion, four hundred ninety-one million, four hundred thirty-one thousand, twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 389 449 462 778 898 1167 1347 2334 2694 2723 3143 4279 4939 5446 5843 6286 8169 8558 9429 9878 11686 12837 14817 16338 17529 18858 25674 29634 29953 34573 35058 40901 59906 64273 69146 81802 89859 103719 122703 128546 174661 179718 192819 207438 245406 349322 385638 449911 523983 899822 1047966 1222627 1349733 1921271 2272927 2445254 2623507 2699466 3667881 3842542 4545854 5247014 5763813 6818781 7335762 7870521 11527626 13448897 13637562 15741042 15910489 18364549 25002197 26897794 28858577 31820978 36729098 40346691 47731467 50004394 55093647 57717154 75006591 80693382 86575731 95462934 110187294 150013182 173151462 175015379 202010039 350030758 404020078 525046137 606030117 1020544223 1050092274 1212060234 2041088446 3061632669 6123265338 7143809561 11225986453 14287619122 21431428683 22451972906 33677959359 42862857366 67355918718 78581905171 157163810342 235745715513 471491431026