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9836474041 = 414592
BaseRepresentation
bin10010010100100110…
…01010111010111001
3221101112001122200101
421022103022322321
5130121114132131
64304021435401
7465520435612
oct111223127271
927345048611
109836474041
114198484599
121aa626bb61
13c09b63b54
14694556c09
153c885ac61
hex24a4caeb9

9836474041 has 15 divisors (see below), whose sum is σ = 10256170105. Its totient is φ = 9433906480.

The previous prime is 9836474033. The next prime is 9836474071. The reversal of 9836474041 is 1404746389.

The square root of 9836474041 is 99179.

It is a perfect power (a square), and thus also a powerful number.

9836474041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8031923641 + 1804550400 = 89621^2 + 42480^2 .

It is not a de Polignac number, because 9836474041 - 23 = 9836474033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9836473982 and 9836474000.

It is not an unprimeable number, because it can be changed into a prime (9836474071) 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 14 ways as a sum of consecutive naturals, for example, 166719870 + ... + 166719928.

Almost surely, 29836474041 is an apocalyptic number.

9836474041 is the 99179-th square number.

9836474041 is the 49590-th centered octagonal number.

It is an amenable number.

9836474041 is a deficient number, since it is larger than the sum of its proper divisors (419696064).

9836474041 is an frugal number, since it uses more digits than its factorization.

9836474041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The cubic root of 9836474041 is about 2142.6265563655.

The spelling of 9836474041 in words is "nine billion, eight hundred thirty-six million, four hundred seventy-four thousand, forty-one".

Divisors: 1 41 59 1681 2419 3481 68921 99179 142721 2825761 4066339 5851561 166719899 239914001 9836474041