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132122121656 = 2372324799311
BaseRepresentation
bin111101100001100010…
…1111001010110111000
3110122000211002012021012
41323003011321112320
54131041230343111
6140410203333052
712355052334650
oct1730305712670
9418024065235
10132122121656
115103a547588
1221733521188
13c5c7739715
146575273360
1536842ea48b
hex1ec31795b8

132122121656 has 96 divisors (see below), whose sum is σ = 296613273600. Its totient is φ = 54042985920.

The previous prime is 132122121589. The next prime is 132122121667. The reversal of 132122121656 is 656121221231.

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, 14185241 + ... + 14194551.

It is an arithmetic number, because the mean of its divisors is an integer number (3089721600).

Almost surely, 2132122121656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122121656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148306636800).

132122121656 is an abundant number, since it is smaller than the sum of its proper divisors (164491151944).

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

132122121656 is a wasteful number, since it uses less digits than its factorization.

132122121656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849 (or 9822 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

Adding to 132122121656 its reverse (656121221231), we get a palindrome (788243342887).

The spelling of 132122121656 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 479 529 644 958 1058 1288 1916 2116 3353 3703 3832 4232 6706 7406 9311 11017 13412 14812 18622 22034 26824 29624 37244 44068 65177 74488 77119 88136 130354 154238 214153 253391 260708 308476 428306 506782 521416 616952 856612 1013564 1499071 1713224 1773737 2027128 2998142 3547474 4459969 4925519 5996284 7094948 8919938 9851038 11992568 14189896 17839876 19702076 31219783 34478633 35679752 39404152 62439566 68957266 102579287 124879132 137914532 205158574 249758264 275829064 410317148 718055009 820634296 1436110018 2359323601 2872220036 4718647202 5744440072 9437294404 16515265207 18874588808 33030530414 66061060828 132122121656