Search a number
-
+
132321332402336 = 25711397135269117
BaseRepresentation
bin11110000101100001110110…
…000000111001100010100000
3122100111210111011110111010102
4132011201312000321202200
5114320423042043333321
61145231325251321532
736604620653442050
oct3605416600714240
9570453434414112
10132321332402336
1139186186592990
1212a109165b02a8
1358aab0439431c
14249655adcd560
151046eac941c0b
hex7858760398a0

132321332402336 has 96 divisors (see below), whose sum is σ = 325606835014272. Its totient is φ = 51423907138560.

The previous prime is 132321332402317. The next prime is 132321332402411. The reversal of 132321332402336 is 633204233123231.

It is a self number, because there is not a number n which added to its sum of digits gives 132321332402336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66656351 + ... + 68612766.

It is an arithmetic number, because the mean of its divisors is an integer number (3391737864732).

Almost surely, 2132321332402336 is an apocalyptic number.

132321332402336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132321332402336 is an abundant number, since it is smaller than the sum of its proper divisors (193285502611936).

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

132321332402336 is a wasteful number, since it uses less digits than its factorization.

132321332402336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135269542 (or 135269534 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 38.

Adding to 132321332402336 its reverse (633204233123231), we get a palindrome (765525565525567).

The spelling of 132321332402336 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, three hundred thirty-two million, four hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 397 616 794 1232 1588 2464 2779 3176 4367 5558 6352 8734 11116 12704 17468 22232 30569 34936 44464 61138 69872 88928 122276 139744 244552 489104 978208 135269117 270538234 541076468 946883819 1082152936 1487960287 1893767638 2164305872 2975920574 3787535276 4328611744 5951841148 7575070552 10415722009 11903682296 15150141104 20831444018 23807364592 30300282208 41662888036 47614729184 53701839449 83325776072 107403678898 166651552144 214807357796 333303104288 375912876143 429614715592 590720233939 751825752286 859229431184 1181440467878 1503651504572 1718458862368 2362880935756 3007303009144 4135041637573 4725761871512 6014606018288 8270083275146 9451523743024 12029212036576 16540166550292 18903047486048 33080333100584 66160666201168 132321332402336