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332413012000 = 255383103253
BaseRepresentation
bin1001101011001010101…
…11000000100000100000
31011210000102201122022001
410311211113000200200
520421240212341000
6412413004253344
733005334660526
oct4654527004040
91153012648261
10332413012000
11118a8052aa23
1254510541254
13254670b7154
1412135c36316
1589a807e46a
hex4d655c0820

332413012000 has 48 divisors (see below), whose sum is σ = 816738780312. Its totient is φ = 132965203200.

The previous prime is 332413011961. The next prime is 332413012003. The reversal of 332413012000 is 210314233.

It can be written as a sum of positive squares in 4 ways, for example, as 165789037584 + 166623974416 = 407172^2 + 408196^2 .

It is a super-3 number, since 3×3324130120003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (332413012003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41547627 + ... + 41555626.

Almost surely, 2332413012000 is an apocalyptic number.

It is an amenable number.

332413012000 is an abundant number, since it is smaller than the sum of its proper divisors (484325768312).

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

332413012000 is an equidigital number, since it uses as much as digits as its factorization.

332413012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83103278 (or 83103260 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 332413012000 its reverse (210314233), we get a palindrome (332623326233).

The spelling of 332413012000 in words is "three hundred thirty-two billion, four hundred thirteen million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 83103253 166206506 332413012 415516265 664826024 831032530 1329652048 1662065060 2077581325 2659304096 3324130120 4155162650 6648260240 8310325300 10387906625 13296520480 16620650600 20775813250 33241301200 41551626500 66482602400 83103253000 166206506000 332413012000