Search a number
-
+
13348000680 = 2335715890477
BaseRepresentation
bin11000110111001101…
…00101001110101000
31021110020121200122120
430123212211032220
5204314042010210
610044301551240
7651530063610
oct143346451650
937406550576
1013348000680
11572a664523
122706275520
131349507b71
14908a75a40
15531c93270
hex31b9a53a8

13348000680 has 64 divisors (see below), whose sum is σ = 45764576640. Its totient is φ = 3050971392.

The previous prime is 13348000637. The next prime is 13348000709. The reversal of 13348000680 is 8600084331.

13348000680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 7944399 + ... + 7946078.

It is an arithmetic number, because the mean of its divisors is an integer number (715071510).

Almost surely, 213348000680 is an apocalyptic number.

13348000680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13348000680 is an abundant number, since it is smaller than the sum of its proper divisors (32416575960).

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

13348000680 is a wasteful number, since it uses less digits than its factorization.

13348000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890498 (or 15890494 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 13348000680 in words is "thirteen billion, three hundred forty-eight million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 15890477 31780954 47671431 63561908 79452385 95342862 111233339 127123816 158904770 190685724 222466678 238357155 317809540 333700017 381371448 444933356 476714310 556166695 635619080 667400034 889866712 953428620 1112333390 1334800068 1668500085 1906857240 2224666780 2669600136 3337000170 4449333560 6674000340 13348000680