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13766860880 = 245172085761
BaseRepresentation
bin11001101001001000…
…11010000001010000
31022112102202222211022
430310210122001100
5211143304022010
610154023335012
7665104246433
oct146444320120
938472688738
1013766860880
115925041383
1228025b1468
1313b5220b36
1494854981a
1555892ed55
hex33491a050

13766860880 has 20 divisors (see below), whose sum is σ = 32007951732. Its totient is φ = 5506744320.

The previous prime is 13766860859. The next prime is 13766860883. The reversal of 13766860880 is 8806866731.

It can be written as a sum of positive squares in 2 ways, for example, as 7598957584 + 6167903296 = 87172^2 + 78536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13766860883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86042801 + ... + 86042960.

Almost surely, 213766860880 is an apocalyptic number.

13766860880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13766860880 is an abundant number, since it is smaller than the sum of its proper divisors (18241090852).

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

13766860880 is a wasteful number, since it uses less digits than its factorization.

13766860880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172085774 (or 172085768 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 13766860880 in words is "thirteen billion, seven hundred sixty-six million, eight hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 172085761 344171522 688343044 860428805 1376686088 1720857610 2753372176 3441715220 6883430440 13766860880