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10406666435 = 5113721372393
BaseRepresentation
bin10011011000100100…
…10010000011000011
3222212020222102121012
421230102102003003
5132303101311220
64440350551135
7515613130244
oct115422220303
928766872535
1010406666435
114460323580
1220252084ab
13c9b0241b9
1470a180ccb
1540d93bac5
hex26c4920c3

10406666435 has 32 divisors (see below), whose sum is σ = 14003865792. Its totient is φ = 7357409280.

The previous prime is 10406666423. The next prime is 10406666447. The reversal of 10406666435 is 53466660401.

It is an interprime number because it is at equal distance from previous prime (10406666423) and next prime (10406666447).

It is not a de Polignac number, because 10406666435 - 24 = 10406666419 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10406666392 and 10406666401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4347599 + ... + 4349991.

It is an arithmetic number, because the mean of its divisors is an integer number (437620806).

Almost surely, 210406666435 is an apocalyptic number.

10406666435 is a deficient number, since it is larger than the sum of its proper divisors (3597199357).

10406666435 is a wasteful number, since it uses less digits than its factorization.

10406666435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 10406666435 in words is "ten billion, four hundred six million, six hundred sixty-six thousand, four hundred thirty-five".

Divisors: 1 5 11 37 55 185 407 2035 2137 2393 10685 11965 23507 26323 79069 88541 117535 131615 395345 442705 869759 973951 4348795 4869755 5113841 25569205 56252251 189212117 281261255 946060585 2081333287 10406666435