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33534041311 = 711016317411
BaseRepresentation
bin11111001110110010…
…001101110011011111
310012120001012210200001
4133032302031303133
51022134203310221
623223314515131
72265001435201
oct371662156337
9105501183601
1033534041311
1113249101631
1265ba595aa7
1332155bccc4
1418a1948771
15d1400c391
hex7cec8dcdf

33534041311 has 16 divisors (see below), whose sum is σ = 34402116096. Its totient is φ = 32678100000.

The previous prime is 33534041267. The next prime is 33534041347. The reversal of 33534041311 is 11314043533.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33534041311 is a prime.

It is a super-2 number, since 2×335340413112 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33534041311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33534011311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4521196 + ... + 4528606.

It is an arithmetic number, because the mean of its divisors is an integer number (2150132256).

Almost surely, 233534041311 is an apocalyptic number.

33534041311 is a deficient number, since it is larger than the sum of its proper divisors (868074785).

33534041311 is a wasteful number, since it uses less digits than its factorization.

33534041311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 33534041311 its reverse (11314043533), we get a palindrome (44848084844).

The spelling of 33534041311 in words is "thirty-three billion, five hundred thirty-four million, forty-one thousand, three hundred eleven".

Divisors: 1 71 101 631 7171 7411 44801 63731 526181 748511 4524901 4676341 53144281 332020211 472310441 33534041311