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4016377665 = 32589252837
BaseRepresentation
bin1110111101100101…
…0000111101000001
3101100220112010101100
43233121100331001
531211143041130
61502312525013
7201346434606
oct35731207501
911326463340
104016377665
11178115aa93
129410b0769
134c0137141
142a15b86ad
1518790cc60
hexef650f41

4016377665 has 12 divisors (see below), whose sum is σ = 6961721364. Its totient is φ = 2142068064.

The previous prime is 4016377613. The next prime is 4016377693. The reversal of 4016377665 is 5667736104.

4016377665 is a `hidden beast` number, since 4 + 0 + 1 + 637 + 7 + 6 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3157653249 + 858724416 = 56193^2 + 29304^2 .

It is not a de Polignac number, because 4016377665 - 27 = 4016377537 is a prime.

It is a super-2 number, since 2×40163776652 = 32262579095821704450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 89252837 = 4016377665 / (4 + 0 + 1 + 6 + 3 + 7 + 7 + 6 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 4016377665.

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 11 ways as a sum of consecutive naturals, for example, 44626374 + ... + 44626463.

It is an arithmetic number, because the mean of its divisors is an integer number (580143447).

Almost surely, 24016377665 is an apocalyptic number.

4016377665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4016377665 is a deficient number, since it is larger than the sum of its proper divisors (2945343699).

4016377665 is a wasteful number, since it uses less digits than its factorization.

4016377665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89252848 (or 89252845 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4016377665 is about 63374.8977513968. The cubic root of 4016377665 is about 1589.5645953878.

The spelling of 4016377665 in words is "four billion, sixteen million, three hundred seventy-seven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 89252837 267758511 446264185 803275533 1338792555 4016377665