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132222631166136 = 233272411088574649
BaseRepresentation
bin11110000100000101111010…
…111101100100000010111000
3122100011100201111200011212200
4132010011322331210002320
5114312313422034304021
61145114123241310200
736564525026664660
oct3604057275440270
9570140644604780
10132222631166136
11391483372902a5
12129b576b795360
1358a1704978c94
14249187664b1a0
151044632751126
hex78417af640b8

132222631166136 has 96 divisors (see below), whose sum is σ = 410958701868000. Its totient is φ = 37621139834880.

The previous prime is 132222631166111. The next prime is 132222631166159. The reversal of 132222631166136 is 631661136222231.

132222631166136 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 2 + 631 + 1 + 6 + 6 + 1 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132222631166091 and 132222631166100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544165861 + ... + 544408788.

It is an arithmetic number, because the mean of its divisors is an integer number (4280819811125).

Almost surely, 2132222631166136 is an apocalyptic number.

It is an amenable number.

132222631166136 is an abundant number, since it is smaller than the sum of its proper divisors (278736070701864).

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

132222631166136 is a wasteful number, since it uses less digits than its factorization.

132222631166136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088574909 (or 1088574902 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

Adding to 132222631166136 its reverse (631661136222231), we get a palindrome (763883767388367).

The spelling of 132222631166136 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, six hundred thirty-one million, one hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 241 252 482 504 723 964 1446 1687 1928 2169 2892 3374 4338 5061 5784 6748 8676 10122 13496 15183 17352 20244 30366 40488 60732 121464 1088574649 2177149298 3265723947 4354298596 6531447894 7620022543 8708597192 9797171841 13062895788 15240045086 19594343682 22860067629 26125791576 30480090172 39188687364 45720135258 60960180344 68580202887 78377374728 91440270516 137160405774 182880541032 262346490409 274320811548 524692980818 548641623096 787039471227 1049385961636 1574078942454 1836425432863 2098771923272 2361118413681 3148157884908 3672850865726 4722236827362 5509276298589 6296315769816 7345701731452 9444473654724 11018552597178 14691403462904 16527828895767 18888947309448 22037105194356 33055657791534 44074210388712 66111315583068 132222631166136