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10406378447 is a prime number
BaseRepresentation
bin10011011000100010…
…01011101111001111
3222212020102210112222
421230101023233033
5132303013102242
64440340445555
7515610520523
oct115421135717
928766383488
1010406378447
114460147173
1220250a98bb
13c9ac530aa
1470a107d83
1540d8d15d2
hex26c44bbcf

10406378447 has 2 divisors, whose sum is σ = 10406378448. Its totient is φ = 10406378446.

The previous prime is 10406378431. The next prime is 10406378461. The reversal of 10406378447 is 74487360401.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10406378447 - 24 = 10406378431 is a prime.

It is a super-2 number, since 2×104063784472 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10406378398 and 10406378407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406378947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203189223 + 5203189224.

It is an arithmetic number, because the mean of its divisors is an integer number (5203189224).

Almost surely, 210406378447 is an apocalyptic number.

10406378447 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406378447 is an equidigital number, since it uses as much as digits as its factorization.

10406378447 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 10406378447 in words is "ten billion, four hundred six million, three hundred seventy-eight thousand, four hundred forty-seven".