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33024412022040 = 233256164311632011
BaseRepresentation
bin1111000001001000110000…
…10110001111010100011000
311022221002210001111020121200
413200210120112033110120
513312032443434201130
6154123112213034200
76645635500406235
oct740443026172430
9138832701436550
1033024412022040
11a58263570725a
123854428925960
13155725b728aba
148225664d278c
153c4092799760
hex1e091858f518

33024412022040 has 384 divisors, whose sum is σ = 109406815015680. Its totient is φ = 8636935910400.

The previous prime is 33024412022033. The next prime is 33024412022071. The reversal of 33024412022040 is 4022021442033.

33024412022040 is a `hidden beast` number, since 3 + 3 + 0 + 24 + 412 + 0 + 220 + 4 + 0 = 666.

It is a super-2 number, since 2×330244120220402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33024412021995 and 33024412022013.

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 95 ways as a sum of consecutive naturals, for example, 16421884635 + ... + 16421886645.

It is an arithmetic number, because the mean of its divisors is an integer number (284913580770).

Almost surely, 233024412022040 is an apocalyptic number.

33024412022040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33024412022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54703407507840).

33024412022040 is an abundant number, since it is smaller than the sum of its proper divisors (76382402993640).

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

33024412022040 is a wasteful number, since it uses less digits than its factorization.

33024412022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 33024412022040 its reverse (4022021442033), we get a palindrome (37046433464073).

The spelling of 33024412022040 in words is "thirty-three trillion, twenty-four billion, four hundred twelve million, twenty-two thousand, forty".