Search a number
-
+
82360292292 = 2235174984283
BaseRepresentation
bin100110010110100001…
…1100101001111000100
321212120211102100100000
41030231003211033010
52322133213323132
6101500310521300
75643651635145
oct1145503451704
9255524370300
1082360292292
1131a24268673
1213b66366230
1379c7129c85
143db441dacc
1522207ee87c
hex132d0e53c4

82360292292 has 72 divisors (see below), whose sum is σ = 228599201376. Its totient is φ = 25838517888.

The previous prime is 82360292281. The next prime is 82360292341. The reversal of 82360292292 is 29229206328.

It is a happy number.

It is a super-2 number, since 2×823602922922 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2475618 + ... + 2508665.

It is an arithmetic number, because the mean of its divisors is an integer number (3174988908).

Almost surely, 282360292292 is an apocalyptic number.

It is an amenable number.

82360292292 is an abundant number, since it is smaller than the sum of its proper divisors (146238909084).

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

82360292292 is a wasteful number, since it uses less digits than its factorization.

82360292292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984319 (or 4984305 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 82360292292 in words is "eighty-two billion, three hundred sixty million, two hundred ninety-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 4984283 9968566 14952849 19937132 29905698 44858547 59811396 84732811 89717094 134575641 169465622 179434188 254198433 269151282 338931244 403726923 508396866 538302564 762595299 807453846 1016793732 1211180769 1525190598 1614907692 2287785897 2422361538 3050381196 4575571794 4844723076 6863357691 9151143588 13726715382 20590073073 27453430764 41180146146 82360292292