Search a number
-
+
81545254518 = 23713833674903
BaseRepresentation
bin100101111110001111…
…0011101011001110110
321210111000210010200210
41023330132131121312
52314001041121033
6101243353450250
75614524140550
oct1137436353166
9253430703623
1081545254518
1131646196732
1213979410986
1378c73104c0
143d3809c4d0
1521c3ea6d63
hex12fc79d676

81545254518 has 128 divisors (see below), whose sum is σ = 203740250112. Its totient is φ = 21185110656.

The previous prime is 81545254493. The next prime is 81545254537.

81545254518 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16629255 + ... + 16634157.

It is an arithmetic number, because the mean of its divisors is an integer number (1591720704).

Almost surely, 281545254518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81545254518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101870125056).

81545254518 is an abundant number, since it is smaller than the sum of its proper divisors (122194995594).

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

81545254518 is a wasteful number, since it uses less digits than its factorization.

81545254518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378.

The product of its digits is 1280000, while the sum is 48.

The spelling of 81545254518 in words is "eighty-one billion, five hundred forty-five million, two hundred fifty-four thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 367 498 546 581 734 1079 1101 1162 1743 2158 2202 2569 3237 3486 4771 4903 5138 6474 7553 7707 9542 9806 14313 14709 15106 15414 22659 28626 29418 30461 33397 34321 45318 60922 63739 66794 68642 91383 100191 102963 127478 182766 191217 200382 205926 213227 382434 395993 406949 426454 446173 639681 791986 813898 892346 1187979 1220847 1279362 1338519 1799401 2375958 2441694 2677038 2771951 2848643 3598802 5290337 5398203 5543902 5697286 8315853 8545929 10580674 10796406 12595807 15871011 16631706 17091858 23392213 25191614 31742022 37032359 37787421 46784426 70176639 74064718 75574842 111097077 140353278 149350283 163745491 222194154 298700566 327490982 448050849 491236473 896101698 982472946 1045451981 1941553679 2090903962 3136355943 3883107358 5824661037 6272711886 11649322074 13590875753 27181751506 40772627259 81545254518