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9838418401 = 721371465577
BaseRepresentation
bin10010010100110101…
…00101100111100001
3221101122201102211201
421022122211213201
5130122113342101
64304131241201
7465543114400
oct111232454741
927348642751
109838418401
1141995923a9
121aa6a49201
13c0a394b66
14694901637
153c8ae1e01
hex24a6a59e1

9838418401 has 12 divisors (see below), whose sum is σ = 11528236548. Its totient is φ = 8371370112.

The previous prime is 9838418399. The next prime is 9838418413. The reversal of 9838418401 is 1048148389.

It can be written as a sum of positive squares in 2 ways, for example, as 4675277376 + 5163141025 = 68376^2 + 71855^2 .

It is not a de Polignac number, because 9838418401 - 21 = 9838418399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9838418441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726076 + ... + 739501.

It is an arithmetic number, because the mean of its divisors is an integer number (960686379).

Almost surely, 29838418401 is an apocalyptic number.

It is an amenable number.

9838418401 is a deficient number, since it is larger than the sum of its proper divisors (1689818147).

9838418401 is a wasteful number, since it uses less digits than its factorization.

9838418401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465728 (or 1465721 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 9838418401 is about 99188.8017923394. The cubic root of 9838418401 is about 2142.7677235794.

The spelling of 9838418401 in words is "nine billion, eight hundred thirty-eight million, four hundred eighteen thousand, four hundred one".

Divisors: 1 7 49 137 959 6713 1465577 10259039 71813273 200784049 1405488343 9838418401