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984262135441 = 131740111106421
BaseRepresentation
bin11100101001010101001…
…10000100111010010001
310111002112220212001220111
432110222212010322101
5112111232101313231
62032055213241321
7131052635052664
oct16245246047221
93432486761814
10984262135441
1134a472352362
1213a90b493241
1371a7a913850
14358d222d6db
151a909ca04b1
hexe52a984e91

984262135441 has 16 divisors (see below), whose sum is σ = 1125124974288. Its totient is φ = 852973056000.

The previous prime is 984262135403. The next prime is 984262135463. The reversal of 984262135441 is 144531262489.

It can be written as a sum of positive squares in 8 ways, for example, as 4550177025 + 979711958416 = 67455^2 + 989804^2 .

It is not a de Polignac number, because 984262135441 - 29 = 984262134929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (984262133441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5464590 + ... + 5641831.

It is an arithmetic number, because the mean of its divisors is an integer number (70320310893).

Almost surely, 2984262135441 is an apocalyptic number.

It is an amenable number.

984262135441 is a deficient number, since it is larger than the sum of its proper divisors (140862838847).

984262135441 is a wasteful number, since it uses less digits than its factorization.

984262135441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11106852.

The product of its digits is 1658880, while the sum is 49.

The spelling of 984262135441 in words is "nine hundred eighty-four billion, two hundred sixty-two million, one hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 13 17 221 401 5213 6817 88621 11106421 144383473 188809157 2454519041 4453674821 57897772673 75712471957 984262135441