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33075000000000 = 293351172
BaseRepresentation
bin1111000010100110111111…
…01000000011111000000000
311100002221100121200210101000
413201103133220003320000
513313400100000000000
6154202240101012000
76652406222210400
oct741233750037000
9140087317623330
1033075000000000
11a5a2035266902
1238621a66b4000
13155bc6124537a
14824ba4d5a800
153c5553a85000
hex1e14dfa03e00

33075000000000 has 1440 divisors, whose sum is σ = 142360839260640. Its totient is φ = 7560000000000.

The previous prime is 33074999999983. The next prime is 33075000000019. The reversal of 33075000000000 is 57033.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 33075000000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4724999999997 + ... + 4725000000003.

It is an arithmetic number, because the mean of its divisors is an integer number (98861693931).

Almost surely, 233075000000000 is an apocalyptic number.

33075000000000 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 33075000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71180419630320).

33075000000000 is an abundant number, since it is smaller than the sum of its proper divisors (109285839260640).

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

33075000000000 is an frugal number, since it uses more digits than its factorization.

33075000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

Adding to 33075000000000 its reverse (57033), we get a palindrome (33075000057033).

The spelling of 33075000000000 in words is "thirty-three trillion, seventy-five billion", and thus it is an aban number and an uban number.