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4006874003 = 111279193121
BaseRepresentation
bin1110111011010100…
…0000101110010011
3101100020122021210212
43232311000232103
531201224432003
61501333114335
7201202603256
oct35665005623
911306567725
104006874003
111776859820
12939a889ab
134bb18a482
142a022309d
15186b81dd8
hexeed40b93

4006874003 has 16 divisors (see below), whose sum is σ = 4411760640. Its totient is φ = 3608841600.

The previous prime is 4006873993. The next prime is 4006874029. The reversal of 4006874003 is 3004786004.

It is a happy number.

4006874003 is digitally balanced in base 3, 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 4006874003 - 28 = 4006873747 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4006874083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282283 + ... + 1285403.

It is an arithmetic number, because the mean of its divisors is an integer number (275735040).

Almost surely, 24006874003 is an apocalyptic number.

4006874003 is a deficient number, since it is larger than the sum of its proper divisors (404886637).

4006874003 is a wasteful number, since it uses less digits than its factorization.

4006874003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4006874003 is about 63299.8736412641. The cubic root of 4006874003 is about 1588.3098482106.

The spelling of 4006874003 in words is "four billion, six million, eight hundred seventy-four thousand, three".

Divisors: 1 11 127 919 1397 3121 10109 34331 116713 396367 1283843 2868199 4360037 31550189 364261273 4006874003