Search a number
-
+
86224482483414 = 231189193353215459
BaseRepresentation
bin10011100110101110110011…
…101001100011110011010110
3102022021222110102210021112120
4103212232303221203303112
542300200220003432124
6503214551434200410
724106341025216302
oct2346566351436326
9368258412707476
1086224482483414
1125523663548960
129806a70883106
133915c1a76b652
1417414041b6d02
159e7d6b38ed79
hex4e6bb3a63cd6

86224482483414 has 128 divisors (see below), whose sum is σ = 191768225241600. Its totient is φ = 25628263710720.

The previous prime is 86224482483413. The next prime is 86224482483421. The reversal of 86224482483414 is 41438428442268.

It is a super-2 number, since 2×862244824834142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86224482483413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400082017 + ... + 400297475.

It is an arithmetic number, because the mean of its divisors is an integer number (1498189259700).

Almost surely, 286224482483414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86224482483414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95884112620800).

86224482483414 is an abundant number, since it is smaller than the sum of its proper divisors (105543742758186).

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

86224482483414 is a wasteful number, since it uses less digits than its factorization.

86224482483414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216110.

The product of its digits is 75497472, while the sum is 60.

The spelling of 86224482483414 in words is "eighty-six trillion, two hundred twenty-four billion, four hundred eighty-two million, four hundred eighty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 89 178 193 267 353 386 534 579 706 979 1059 1158 1958 2118 2123 2937 3883 4246 5874 6369 7766 11649 12738 17177 23298 31417 34354 51531 62834 68129 94251 103062 136258 188502 188947 204387 215459 345587 377894 408774 430918 566841 646377 691174 749419 1036761 1133682 1292754 1498838 2073522 2248257 2370049 4496514 4740098 6063481 7110147 12126962 14220294 18190443 19175851 36380886 38351702 41583587 57527553 66698291 76057027 83167174 115055106 124750761 133396582 152114054 200094873 210934361 228171081 249501522 400189746 421868722 456342162 457419457 632803083 836627297 914838914 1265606166 1372258371 1673254594 2509881891 2744516742 3700939243 5019763782 6769075403 7401878486 11102817729 13538150806 14679006211 20307226209 22205635458 29358012422 40614452418 40710331673 44037018633 74459829433 81420663346 88074037266 122130995019 148919658866 161469068321 223379488299 244261990038 322938136642 446758976598 484407204963 968814409926 1306431552779 2612863105558 3919294658337 7838589316674 14370747080569 28741494161138 43112241241707 86224482483414