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4016705076 = 2232111575141
BaseRepresentation
bin1110111101101010…
…0000111000110100
3101100221010202111200
43233122200320310
531211234030301
61502323532500
7201352300266
oct35732407064
911327122450
104016705076
111781363a7a
1294122a130
134c0220187
142a1661b36
15187974c86
hexef6a0e34

4016705076 has 18 divisors (see below), whose sum is σ = 10153337922. Its totient is φ = 1338901680.

The previous prime is 4016705053. The next prime is 4016705129. The reversal of 4016705076 is 6705076104.

It can be written as a sum of positive squares in only one way, i.e., 3589208100 + 427496976 = 59910^2 + 20676^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×40167050762 = 32267839335128331552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 111575141 = 4016705076 / (4 + 0 + 1 + 6 + 7 + 0 + 5 + 0 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 4016705076.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 55787535 + ... + 55787606.

It is an arithmetic number, because the mean of its divisors is an integer number (564074329).

Almost surely, 24016705076 is an apocalyptic number.

It is an amenable number.

4016705076 is an abundant number, since it is smaller than the sum of its proper divisors (6136632846).

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

4016705076 is a wasteful number, since it uses less digits than its factorization.

4016705076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111575151 (or 111575146 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4016705076 is about 63377.4808271834. The cubic root of 4016705076 is about 1589.6077874409.

The spelling of 4016705076 in words is "four billion, sixteen million, seven hundred five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 111575141 223150282 334725423 446300564 669450846 1004176269 1338901692 2008352538 4016705076