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13379352912 = 2432899071151
BaseRepresentation
bin11000111010111100…
…01011100101010000
31021112102121112211100
430131132023211100
5204400103243122
610051341544400
7652360423542
oct143536134520
937472545740
1013379352912
115746328962
122714875100
131352b64493
1490ccb7692
155348d7aac
hex31d78b950

13379352912 has 120 divisors (see below), whose sum is σ = 37939000320. Its totient is φ = 4400985600.

The previous prime is 13379352907. The next prime is 13379352919. The reversal of 13379352912 is 21925397331.

13379352912 is a `hidden beast` number, since 1 + 3 + 37 + 93 + 529 + 1 + 2 = 666.

13379352912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379352919) 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 23 ways as a sum of consecutive naturals, for example, 11623537 + ... + 11624687.

It is an arithmetic number, because the mean of its divisors is an integer number (316158336).

Almost surely, 213379352912 is an apocalyptic number.

13379352912 is a gapful number since it is divisible by the number (12) 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 13379352912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969500160).

13379352912 is an abundant number, since it is smaller than the sum of its proper divisors (24559647408).

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

13379352912 is a wasteful number, since it uses less digits than its factorization.

13379352912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The spelling of 13379352912 in words is "thirteen billion, three hundred seventy-nine million, three hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 907 1068 1151 1424 1602 1814 2136 2302 2721 3204 3453 3628 4272 4604 5442 6408 6906 7256 8163 9208 10359 10884 12816 13812 14512 16326 18416 20718 21768 27624 32652 41436 43536 55248 65304 80723 82872 102439 130608 161446 165744 204878 242169 307317 322892 409756 484338 614634 645784 726507 819512 921951 968676 1043957 1229268 1291568 1453014 1639024 1843902 1937352 2087914 2458536 2906028 3131871 3687804 3874704 4175828 4917072 5812056 6263742 7375608 8351656 9395613 11624112 12527484 14751216 16703312 18791226 25054968 37582452 50109936 75164904 92912173 150329808 185824346 278736519 371648692 557473038 743297384 836209557 1114946076 1486594768 1672419114 2229892152 3344838228 4459784304 6689676456 13379352912