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10605117406 = 2132193474759
BaseRepresentation
bin10011110000001110…
…10011111111011110
31000101002101210011011
421320013103333132
5133204402224111
64512200245434
7523543003432
oct117007237736
930332353134
1010605117406
114552348744
12207b77087a
131000188400
1472867c9c2
1542108c021
hex2781d3fde

10605117406 has 48 divisors (see below), whose sum is σ = 18188150400. Its totient is φ = 4622720544.

The previous prime is 10605117371. The next prime is 10605117407. The reversal of 10605117406 is 60471150601.

It is a super-2 number, since 2×106051174062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605117407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226055 + ... + 2230813.

It is an arithmetic number, because the mean of its divisors is an integer number (378919800).

Almost surely, 210605117406 is an apocalyptic number.

10605117406 is a deficient number, since it is larger than the sum of its proper divisors (7583032994).

10605117406 is a wasteful number, since it uses less digits than its factorization.

10605117406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 10605117406 in words is "ten billion, six hundred five million, one hundred seventeen thousand, four hundred six".

Divisors: 1 2 13 19 26 38 169 247 338 347 494 694 3211 4511 4759 6422 6593 9022 9518 13186 58643 61867 85709 90421 117286 123734 171418 180842 804271 1114217 1175473 1608542 1651373 2228434 2350946 3302746 15281149 21467849 30562298 31376087 42935698 62752174 279082037 407889131 558164074 815778262 5302558703 10605117406