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13106546740 = 2257594213769
BaseRepresentation
bin11000011010011011…
…00000100000110100
31020211102021120010001
430031031200200310
5203320233443430
610004314441044
7642535544350
oct141515404064
936742246101
1013106546740
115616338611
122659433184
13130b498301
148c4982460
1551a99b3ca
hex30d360834

13106546740 has 96 divisors (see below), whose sum is σ = 32073350400. Its totient is φ = 4405847040.

The previous prime is 13106546669. The next prime is 13106546743. The reversal of 13106546740 is 4764560131.

It is a self number, because there is not a number n which added to its sum of digits gives 13106546740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106546743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3475576 + ... + 3479344.

It is an arithmetic number, because the mean of its divisors is an integer number (334097400).

Almost surely, 213106546740 is an apocalyptic number.

13106546740 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 13106546740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16036675200).

13106546740 is an abundant number, since it is smaller than the sum of its proper divisors (18966803660).

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

13106546740 is a wasteful number, since it uses less digits than its factorization.

13106546740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 13106546740 in words is "thirteen billion, one hundred six million, five hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 421 590 826 842 1180 1652 1684 2065 2105 2947 3769 4130 4210 5894 7538 8260 8420 11788 14735 15076 18845 24839 26383 29470 37690 49678 52766 58940 75380 99356 105532 124195 131915 173873 222371 248390 263830 347746 444742 496780 527660 695492 869365 889484 1111855 1556597 1586749 1738730 2223710 3113194 3173498 3477460 4447420 6226388 6346996 7782985 7933745 11107243 15565970 15867490 22214486 31131940 31734980 44428972 55536215 93618191 111072430 187236382 222144860 374472764 468090955 655327337 936181910 1310654674 1872363820 2621309348 3276636685 6553273370 13106546740