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14378795505 = 3251119728537
BaseRepresentation
bin11010110010000101…
…10000000111110001
31101010002020111022200
431121002300013301
5213421432424010
610334443253413
71016214513414
oct153102600761
941102214280
1014378795505
116109500978
12295351a269
131481c37a29
149a591bb7b
15592508cc0
hex3590b01f1

14378795505 has 24 divisors (see below), whose sum is σ = 24926344872. Its totient is φ = 7667737344.

The previous prime is 14378795477. The next prime is 14378795521. The reversal of 14378795505 is 50559787341.

14378795505 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 87 + 9 + 550 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 14363303409 = 3936^2 + 119847^2 .

It is not a de Polignac number, because 14378795505 - 219 = 14378271217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489597 + ... + 518133.

It is an arithmetic number, because the mean of its divisors is an integer number (1038597703).

Almost surely, 214378795505 is an apocalyptic number.

14378795505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14378795505 is a deficient number, since it is larger than the sum of its proper divisors (10547549367).

14378795505 is a wasteful number, since it uses less digits than its factorization.

14378795505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39745 (or 39742 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 14378795505 in words is "fourteen billion, three hundred seventy-eight million, seven hundred ninety-five thousand, five hundred five".

Divisors: 1 3 5 9 15 45 11197 28537 33591 55985 85611 100773 142685 167955 256833 428055 503865 1284165 319528789 958586367 1597643945 2875759101 4792931835 14378795505