Search a number
-
+
13348148148 = 22321837120183
BaseRepresentation
bin11000110111001110…
…01001001110110100
31021110020220011221100
430123213021032310
5204314111220043
610044305050100
7651531246546
oct143347111664
937406804840
1013348148148
11572a7552a5
122706326930
13134955a01a
14908ab3696
15531cc1cd3
hex31b9c93b4

13348148148 has 36 divisors (see below), whose sum is σ = 33744660768. Its totient is φ = 4448920080.

The previous prime is 13348148137. The next prime is 13348148189. The reversal of 13348148148 is 84184184331.

It is a tau number, because it is divible by the number of its divisors (36).

13348148148 is a modest number, since divided by 148148 gives 13348 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651265 + ... + 671447.

It is an arithmetic number, because the mean of its divisors is an integer number (937351688).

Almost surely, 213348148148 is an apocalyptic number.

13348148148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13348148148 is an abundant number, since it is smaller than the sum of its proper divisors (20396512620).

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

13348148148 is a wasteful number, since it uses less digits than its factorization.

13348148148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38564 (or 38559 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 13348148148 in words is "thirteen billion, three hundred forty-eight million, one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 18371 20183 36742 40366 55113 60549 73484 80732 110226 121098 165339 181647 220452 242196 330678 363294 661356 726588 370781893 741563786 1112345679 1483127572 2224691358 3337037037 4449382716 6674074074 13348148148