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13801835060 = 225131093671327
BaseRepresentation
bin11001101101010011…
…10100101000110100
31022121212120212101022
430312221310220310
5211231232210220
610201313120312
7666010443116
oct146651645064
938555525338
1013801835060
115942859a62
122812259098
1313bc547c10
1494d0513b6
1555ba3c925
hex336a74a34

13801835060 has 96 divisors (see below), whose sum is σ = 31609374720. Its totient is φ = 5031756288.

The previous prime is 13801835059. The next prime is 13801835071. The reversal of 13801835060 is 6053810831.

13801835060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13801835060.

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 31 ways as a sum of consecutive naturals, for example, 10400117 + ... + 10401443.

It is an arithmetic number, because the mean of its divisors is an integer number (329264320).

Almost surely, 213801835060 is an apocalyptic number.

13801835060 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 13801835060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804687360).

13801835060 is an abundant number, since it is smaller than the sum of its proper divisors (17807539660).

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

13801835060 is a wasteful number, since it uses less digits than its factorization.

13801835060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 13801835060 in words is "thirteen billion, eight hundred one million, eight hundred thirty-five thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 367 436 545 734 1090 1327 1417 1468 1835 2180 2654 2834 3670 4771 5308 5668 6635 7085 7340 9542 13270 14170 17251 19084 23855 26540 28340 34502 40003 47710 69004 80006 86255 95420 144643 160012 172510 200015 289286 345020 400030 487009 520039 578572 723215 800060 974018 1040078 1446430 1880359 1948036 2080156 2435045 2600195 2892860 3760718 4870090 5200390 6331117 7521436 9401795 9740180 10400780 12662234 18803590 25324468 31655585 37607180 53083981 63311170 106167962 126622340 212335924 265419905 530839810 690091753 1061679620 1380183506 2760367012 3450458765 6900917530 13801835060