Search a number
-
+
4006740070067 = 74875692065627
BaseRepresentation
bin111010010011100100010…
…100011000111010110011
3112012001002121022201212212
4322103210110120322303
51011121300424220232
612304400533042335
7562322516442140
oct72234424307263
915161077281785
104006740070067
111305281350009
125486491863ab
13230aac2c3287
14dbcda5573c7
156e357a7ceb2
hex3a4e4518eb3

4006740070067 has 16 divisors (see below), whose sum is σ = 4596600675840. Its totient is φ = 3421271556288.

The previous prime is 4006740070037. The next prime is 4006740070079. The reversal of 4006740070067 is 7600700476004.

4006740070067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4006740070067 - 210 = 4006740069043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4006740070007) 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, 906908 + ... + 2972534.

It is an arithmetic number, because the mean of its divisors is an integer number (287287542240).

Almost surely, 24006740070067 is an apocalyptic number.

4006740070067 is a deficient number, since it is larger than the sum of its proper divisors (589860605773).

4006740070067 is a wasteful number, since it uses less digits than its factorization.

4006740070067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066690.

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 4006740070067 in words is "four trillion, six billion, seven hundred forty million, seventy thousand, sixty-seven".

Divisors: 1 7 487 569 3409 3983 277103 1939721 2065627 14459389 1005960349 1175341763 7041722443 8227392341 572391438581 4006740070067