Search a number
-
+
13766652880 = 245172083161
BaseRepresentation
bin11001101001000111…
…00111001111010000
31022112102101102111121
430310203213033100
5211143230343010
610154015052024
7665102422141
oct146443471720
938472342447
1013766652880
115924a0a082
122802511014
1313b517a266
149484d3ac8
155588dd3da
hex3348e73d0

13766652880 has 20 divisors (see below), whose sum is σ = 32007468132. Its totient is φ = 5506661120.

The previous prime is 13766652827. The next prime is 13766652941. The reversal of 13766652880 is 8825666731.

13766652880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2190614416 + 11576038464 = 46804^2 + 107592^2 .

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

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 3 ways as a sum of consecutive naturals, for example, 86041501 + ... + 86041660.

Almost surely, 213766652880 is an apocalyptic number.

13766652880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13766652880 is an abundant number, since it is smaller than the sum of its proper divisors (18240815252).

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

13766652880 is a wasteful number, since it uses less digits than its factorization.

13766652880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172083174 (or 172083168 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 13766652880 in words is "thirteen billion, seven hundred sixty-six million, six hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 172083161 344166322 688332644 860415805 1376665288 1720831610 2753330576 3441663220 6883326440 13766652880