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10400563541 is a prime number
BaseRepresentation
bin10011010111110110…
…00000000101010101
3222211211111101000002
421223323000011111
5132300021013131
64440012101045
7515510221454
oct115373000525
928754441002
1010400563541
114457935365
122023164785
13c99998414
14709432b9b
1540d1336cb
hex26bec0155

10400563541 has 2 divisors, whose sum is σ = 10400563542. Its totient is φ = 10400563540.

The previous prime is 10400563531. The next prime is 10400563543. The reversal of 10400563541 is 14536500401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10366294225 + 34269316 = 101815^2 + 5854^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400563541 - 222 = 10396369237 is a prime.

Together with 10400563543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400563543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200281770 + 5200281771.

It is an arithmetic number, because the mean of its divisors is an integer number (5200281771).

Almost surely, 210400563541 is an apocalyptic number.

It is an amenable number.

10400563541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400563541 is an equidigital number, since it uses as much as digits as its factorization.

10400563541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 10400563541 in words is "ten billion, four hundred million, five hundred sixty-three thousand, five hundred forty-one".