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13379341680 = 2432519794327
BaseRepresentation
bin11000111010111100…
…01000110101110000
31021112102120222102100
430131132020311300
5204400102413210
610051341420400
7652360346025
oct143536106560
937472528370
1013379341680
115746320481
12271486a700
131352b5c333
1490ccb354c
155348d45c0
hex31d788d70

13379341680 has 120 divisors (see below), whose sum is σ = 45160850592. Its totient is φ = 3549676032.

The previous prime is 13379341639. The next prime is 13379341697. The reversal of 13379341680 is 8614397331.

13379341680 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 94677 + ... + 189003.

Almost surely, 213379341680 is an apocalyptic number.

13379341680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13379341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580425296).

13379341680 is an abundant number, since it is smaller than the sum of its proper divisors (31781508912).

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

13379341680 is a wasteful number, since it uses less digits than its factorization.

13379341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94543 (or 94534 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13379341680 in words is "thirteen billion, three hundred seventy-nine million, three hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 197 240 360 394 591 720 788 985 1182 1576 1773 1970 2364 2955 3152 3546 3940 4728 5910 7092 7880 8865 9456 11820 14184 15760 17730 23640 28368 35460 47280 70920 94327 141840 188654 282981 377308 471635 565962 754616 848943 943270 1131924 1414905 1509232 1697886 1886540 2263848 2829810 3395772 3773080 4244715 4527696 5659620 6791544 7546160 8489430 11319240 13583088 16978860 18582419 22638480 33957720 37164838 55747257 67915440 74329676 92912095 111494514 148659352 167241771 185824190 222989028 278736285 297318704 334483542 371648380 445978056 557472570 668967084 743296760 836208855 891956112 1114945140 1337934168 1486593520 1672417710 2229890280 2675868336 3344835420 4459780560 6689670840 13379341680