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9844052101 = 13258248829
BaseRepresentation
bin10010010101100000…
…00101000010000101
3221102001022122211021
421022300011002011
5130130034131401
64304452111141
7465642030232
oct111260050205
927361278737
109844052101
1141a1790054
121aa89054b1
13c0b5b8200
1469556a789
153c93562a1
hex24ac05085

9844052101 has 6 divisors (see below), whose sum is σ = 10659535890. Its totient is φ = 9086817168.

The previous prime is 9844052087. The next prime is 9844052107. The reversal of 9844052101 is 1012504489.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 116964225 + 9727087876 = 10815^2 + 98626^2 .

It is not a de Polignac number, because 9844052101 - 211 = 9844050053 is a prime.

It is a super-4 number, since 4×98440521014 (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9844052107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29124246 + ... + 29124583.

It is an arithmetic number, because the mean of its divisors is an integer number (1776589315).

Almost surely, 29844052101 is an apocalyptic number.

It is an amenable number.

9844052101 is a deficient number, since it is larger than the sum of its proper divisors (815483789).

9844052101 is a wasteful number, since it uses less digits than its factorization.

9844052101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58248855 (or 58248842 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 9844052101 is about 99217.1965991783. The cubic root of 9844052101 is about 2143.1766445593.

The spelling of 9844052101 in words is "nine billion, eight hundred forty-four million, fifty-two thousand, one hundred one".

Divisors: 1 13 169 58248829 757234777 9844052101