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14166775616 = 267291090423
BaseRepresentation
bin11010011000110011…
…11101011101000000
31100120022021202201012
431030121331131000
5213003143304431
610301431100052
71011031414550
oct151431753500
940508252635
1014166775616
11600a859224
1228b4511628
13144a032686
149856cb160
1557dac822b
hex34c67d740

14166775616 has 56 divisors (see below), whose sum is σ = 33236123520. Its totient is φ = 5862108672.

The previous prime is 14166775589. The next prime is 14166775627. The reversal of 14166775616 is 61657766141.

14166775616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532220 + ... + 558203.

Almost surely, 214166775616 is an apocalyptic number.

14166775616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14166775616 is an abundant number, since it is smaller than the sum of its proper divisors (19069347904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14166775616 is a wasteful number, since it uses less digits than its factorization.

14166775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090471 (or 1090461 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The spelling of 14166775616 in words is "fourteen billion, one hundred sixty-six million, seven hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 1090423 2180846 4361692 7632961 8723384 15265922 17446768 30531844 31622267 34893536 61063688 63244534 69787072 122127376 126489068 221355869 244254752 252978136 442711738 488509504 505956272 885423476 1011912544 1770846952 2023825088 3541693904 7083387808 14166775616