Search a number
-
+
13726081950 = 2352783915581
BaseRepresentation
bin11001100100010001…
…10110001110011110
31022102121001012122120
430302020312032132
5211102334110300
610150005323410
7664100525430
oct146210661636
938377035576
1013726081950
115904019589
1227b0a06566
1313a99438a9
14942d72650
155550773a0
hex33223639e

13726081950 has 96 divisors (see below), whose sum is σ = 38952506880. Its totient is φ = 3133449600.

The previous prime is 13726081939. The next prime is 13726081981. The reversal of 13726081950 is 5918062731.

13726081950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 873160 + ... + 888740.

It is an arithmetic number, because the mean of its divisors is an integer number (405755280).

Almost surely, 213726081950 is an apocalyptic number.

13726081950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13726081950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476253440).

13726081950 is an abundant number, since it is smaller than the sum of its proper divisors (25226424930).

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

13726081950 is a wasteful number, since it uses less digits than its factorization.

13726081950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16442 (or 16437 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 13726081950 in words is "thirteen billion, seven hundred twenty-six million, eighty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 839 1050 1678 2517 4195 5034 5873 8390 11746 12585 15581 17619 20975 25170 29365 31162 35238 41950 46743 58730 62925 77905 88095 93486 109067 125850 146825 155810 176190 218134 233715 293650 327201 389525 440475 467430 545335 654402 779050 880950 1090670 1168575 1636005 2337150 2726675 3272010 5453350 8180025 13072459 16360050 26144918 39217377 65362295 78434754 91507213 130724590 183014426 196086885 274521639 326811475 392173770 457536065 549043278 653622950 915072130 980434425 1372608195 1960868850 2287680325 2745216390 4575360650 6863040975 13726081950