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10734400441 is a prime number
BaseRepresentation
bin10011111111101000…
…11111001110111001
31000201002200001010201
421333310133032321
5133441001303231
64533055242201
7530002620052
oct117764371671
930632601121
1010734400441
11460931aa26
1220b6b19361
131020bb274b
1473b8d3729
1542c5c8161
hex27fd1f3b9

10734400441 has 2 divisors, whose sum is σ = 10734400442. Its totient is φ = 10734400440.

The previous prime is 10734400429. The next prime is 10734400451. The reversal of 10734400441 is 14400443701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7957532025 + 2776868416 = 89205^2 + 52696^2 .

It is a cyclic number.

It is not a de Polignac number, because 10734400441 - 221 = 10732303289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10734400451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367200220 + 5367200221.

It is an arithmetic number, because the mean of its divisors is an integer number (5367200221).

Almost surely, 210734400441 is an apocalyptic number.

It is an amenable number.

10734400441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10734400441 is an equidigital number, since it uses as much as digits as its factorization.

10734400441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 10734400441 in words is "ten billion, seven hundred thirty-four million, four hundred thousand, four hundred forty-one".