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3452133522032 = 2413312163105953
BaseRepresentation
bin110010001111000011001…
…100010011101001110000
3110020000120010020222002022
4302033003030103221300
5423024432140201112
611201515510011012
7504260041532516
oct62170314235160
913200503228068
103452133522032
111111050415878
12479068646a68
131c06c4c34c20
14bd126cc04b6
155ebe7e6bd72
hex323c3313a70

3452133522032 has 120 divisors (see below), whose sum is σ = 7488592230672. Its totient is φ = 1532421918720.

The previous prime is 3452133522007. The next prime is 3452133522137. The reversal of 3452133522032 is 2302253312543.

It is a super-2 number, since 2×34521335220322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3452133521983 and 3452133522001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32528768 + ... + 32634720.

Almost surely, 23452133522032 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 3452133522032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744296115336).

3452133522032 is an abundant number, since it is smaller than the sum of its proper divisors (4036458708640).

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

3452133522032 is a wasteful number, since it uses less digits than its factorization.

3452133522032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106199 (or 106162 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 3452133522032 its reverse (2302253312543), we get a palindrome (5754386834575).

The spelling of 3452133522032 in words is "three trillion, four hundred fifty-two billion, one hundred thirty-three million, five hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 163 208 248 326 403 496 652 806 961 1304 1612 1922 2119 2608 3224 3844 4238 5053 6448 7688 8476 10106 12493 15376 16952 20212 24986 33904 40424 49972 65689 80848 99944 105953 131378 156643 199888 211906 262756 313286 423812 525512 626572 847624 1051024 1253144 1377389 1695248 2036359 2506288 2754778 3284543 4072718 5509556 6569086 8145436 11019112 13138172 16290872 17270339 22038224 26276344 32581744 34540678 42699059 52552688 69081356 85398118 101820833 138162712 170796236 203641666 224514407 276325424 341592472 407283332 449028814 535380509 683184944 814566664 898057628 1070761018 1323670829 1629133328 1796115256 2141522036 2647341658 3592230512 4283044072 5294683316 6959946617 8566088144 10589366632 13919893234 16596795779 21178733264 27839786468 33193591558 55679572936 66387183116 111359145872 132774366232 215758345127 265548732464 431516690254 863033380508 1726066761016 3452133522032