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67468080741408 = 2532234264169241
BaseRepresentation
bin11110101011100101000101…
…11111000111110000100000
322211212212220112211212101100
433111302202333013300200
532320344112132211113
6355254224114434400
720132256636026334
oct1725624277076040
9284785815755340
1067468080741408
111a552063764496
127697923892a00
132b8529c445109
1412936888a97c4
157beeeda46d73
hex3d5ca2fc7c20

67468080741408 has 36 divisors (see below), whose sum is σ = 191862354609198. Its totient is φ = 22489360247040.

The previous prime is 67468080741407. The next prime is 67468080741409. The reversal of 67468080741408 is 80414708086476.

67468080741408 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 80 + 80 + 74 + 1 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (67468080741407) and next prime (67468080741409).

It can be written as a sum of positive squares in only one way, i.e., 34573129931664 + 32894950809744 = 5879892^2 + 5735412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (67468080741407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117132084333 + ... + 117132084908.

Almost surely, 267468080741408 is an apocalyptic number.

It is an amenable number.

67468080741408 is an abundant number, since it is smaller than the sum of its proper divisors (124394273867790).

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

67468080741408 is a wasteful number, since it uses less digits than its factorization.

67468080741408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234264169257 (or 234264169246 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 67468080741408 in words is "sixty-seven trillion, four hundred sixty-eight billion, eighty million, seven hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 234264169241 468528338482 702792507723 937056676964 1405585015446 1874113353928 2108377523169 2811170030892 3748226707856 4216755046338 5622340061784 7496453415712 8433510092676 11244680123568 16867020185352 22489360247136 33734040370704 67468080741408