Search a number
-
+
20034164506741 = 7114131320274601
BaseRepresentation
bin1001000111000100100010…
…10000100100000001110101
32121221020200101000021022021
410203202101100210001311
510111214432103203431
6110335322414033141
74135264162363540
oct443422120440165
977836611007267
1020034164506741
116424494635680
1222b69091a87b1
13b242a13a83b8
144d39317dd857
1524b2043ccb11
hex123891424075

20034164506741 has 32 divisors (see below), whose sum is σ = 25668619312896. Its totient is φ = 15181620480000.

The previous prime is 20034164506709. The next prime is 20034164506831. The reversal of 20034164506741 is 14760546143002.

It is a cyclic number.

It is not a de Polignac number, because 20034164506741 - 25 = 20034164506709 is a prime.

It is a super-3 number, since 3×200341645067413 (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034164504741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9149160 + ... + 11125441.

It is an arithmetic number, because the mean of its divisors is an integer number (802144353528).

Almost surely, 220034164506741 is an apocalyptic number.

It is an amenable number.

20034164506741 is a deficient number, since it is larger than the sum of its proper divisors (5634454806155).

20034164506741 is a wasteful number, since it uses less digits than its factorization.

20034164506741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20274973.

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 20034164506741 in words is "twenty trillion, thirty-four billion, one hundred sixty-four million, five hundred six thousand, seven hundred forty-one".

Divisors: 1 7 11 41 77 287 313 451 2191 3157 3443 12833 24101 89831 141163 988141 20274601 141922207 223020611 831258641 1561144277 5818810487 6345950113 9143845051 44421650791 64006915357 69805451243 260183954633 488638158701 1821287682431 2862023500963 20034164506741