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13386234160 = 2451319677441
BaseRepresentation
bin11000111011110000…
…11011100100110000
31021112220120011010101
430131320123210300
5204403333443120
610052145242144
7652503053515
oct143570334460
937486504111
1013386234160
11574a1a8942
122717033354
131354403620
1490db8930c
155352e690a
hex31de1b930

13386234160 has 80 divisors (see below), whose sum is σ = 35281179360. Its totient is φ = 4682465280.

The previous prime is 13386234143. The next prime is 13386234161. The reversal of 13386234160 is 6143268331.

13386234160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13386234161) by changing a digit.

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, 318961 + ... + 358480.

It is an arithmetic number, because the mean of its divisors is an integer number (441014742).

Almost surely, 213386234160 is an apocalyptic number.

13386234160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13386234160 is an abundant number, since it is smaller than the sum of its proper divisors (21894945200).

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

13386234160 is a wasteful number, since it uses less digits than its factorization.

13386234160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677486 (or 677480 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 13386234160 in words is "thirteen billion, three hundred eighty-six million, two hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 677441 1354882 2709764 3387205 5419528 6774410 8806733 10839056 12871379 13548820 17613466 25742758 27097640 35226932 44033665 51485516 54195280 64356895 70453864 88067330 102971032 128713790 140907728 167327927 176134660 205942064 257427580 334655854 352269320 514855160 669311708 704538640 836639635 1029710320 1338623416 1673279270 2677246832 3346558540 6693117080 13386234160