Search a number
-
+
86361414552 = 233272191288361
BaseRepresentation
bin101000001101110001…
…0101001101110011000
322020220200020102020100
41100123202221232120
52403332010231202
6103401320455400
76145054624500
oct1203342515630
9266820212210
1086361414552
1133697848a86
12148a231a560
1381b405243a
144273986a00
1523a6be741c
hex141b8a9b98

86361414552 has 144 divisors (see below), whose sum is σ = 286402872600. Its totient is φ = 23376003840.

The previous prime is 86361414539. The next prime is 86361414583. The reversal of 86361414552 is 25541416368.

86361414552 is a `hidden beast` number, since 8 + 636 + 1 + 4 + 1 + 4 + 5 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86361414498 and 86361414507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 577149 + ... + 711212.

Almost surely, 286361414552 is an apocalyptic number.

It is an amenable number.

86361414552 is an abundant number, since it is smaller than the sum of its proper divisors (200041458048).

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

86361414552 is a wasteful number, since it uses less digits than its factorization.

86361414552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288406 (or 1288392 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 86361414552 in words is "eighty-six billion, three hundred sixty-one million, four hundred fourteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 7448 8379 9576 11172 16758 22344 33516 67032 1288361 2576722 3865083 5153444 7730166 9018527 10306888 11595249 15460332 18037054 23190498 24478859 27055581 30920664 36074108 46380996 48957718 54111162 63129689 72148216 73436577 81166743 92761992 97915436 108222324 126259378 146873154 162333486 171352013 189389067 195830872 216444648 220309731 252518756 293746308 324666972 342704026 378778134 440619462 505037512 514056039 568167201 587492616 649333944 685408052 757556268 881238924 1028112078 1136334402 1199464091 1370816104 1515112536 1542168117 1762477848 2056224156 2272668804 2398928182 3084336234 3598392273 4112448312 4545337608 4797856364 6168672468 7196784546 9595712728 10795176819 12337344936 14393569092 21590353638 28787138184 43180707276 86361414552