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67135184021 = 3723321533617
BaseRepresentation
bin111110100001100100…
…011001110010010101
320102021202200201011002
4332201210121302111
52044443101342041
650501431553045
74564446435323
oct764144316225
9212252621132
1067135184021
1126521074464
121101752b785
13643ba75379
14336c35cd13
151b2dd7159b
hexfa1919c95

67135184021 has 16 divisors (see below), whose sum is σ = 69296885424. Its totient is φ = 64992190464.

The previous prime is 67135183991. The next prime is 67135184057. The reversal of 67135184021 is 12048153176.

67135184021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17979859921 + 49155324100 = 134089^2 + 221710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67135184021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67135184071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18559205 + ... + 18562821.

It is an arithmetic number, because the mean of its divisors is an integer number (4331055339).

Almost surely, 267135184021 is an apocalyptic number.

It is an amenable number.

67135184021 is a deficient number, since it is larger than the sum of its proper divisors (2161701403).

67135184021 is a wasteful number, since it uses less digits than its factorization.

67135184021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 67135184021 in words is "sixty-seven billion, one hundred thirty-five million, one hundred eighty-four thousand, twenty-one".

Divisors: 1 37 233 2153 3617 8621 79661 133829 501649 842761 7787401 18561013 31182157 288133837 1814464433 67135184021