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33134341401 = 327275134561
BaseRepresentation
bin11110110110111101…
…011110110100011001
310011112012002221110200
4132312331132310121
51020324342411101
623115515532413
72252046153300
oct366675366431
9104465087420
1033134341401
1113063521127
12650875a109
133180855195
141864821437
15cddda7986
hex7b6f5ed19

33134341401 has 18 divisors (see below), whose sum is σ = 55674710442. Its totient is φ = 18933909120.

The previous prime is 33134341391. The next prime is 33134341421. The reversal of 33134341401 is 10414343133.

33134341401 is a `hidden beast` number, since 3 + 313 + 4 + 341 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29335468176 + 3798873225 = 171276^2 + 61635^2 .

It is not a de Polignac number, because 33134341401 - 26 = 33134341337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33134341421) 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 17 ways as a sum of consecutive naturals, for example, 37566840 + ... + 37567721.

It is an arithmetic number, because the mean of its divisors is an integer number (3093039469).

Almost surely, 233134341401 is an apocalyptic number.

It is an amenable number.

33134341401 is a deficient number, since it is larger than the sum of its proper divisors (22540369041).

33134341401 is a wasteful number, since it uses less digits than its factorization.

33134341401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75134581 (or 75134571 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33134341401 its reverse (10414343133), we get a palindrome (43548684534).

The spelling of 33134341401 in words is "thirty-three billion, one hundred thirty-four million, three hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 75134561 225403683 525941927 676211049 1577825781 3681593489 4733477343 11044780467 33134341401