Search a number
-
+
13871983650 = 2352745728909
BaseRepresentation
bin11001110101101010…
…11010110000100010
31022210202120210011020
430322311122300202
5211402211434100
610212300430310
71000521626010
oct147265326042
938722523136
1013871983650
1159794116a8
122831848396
131400c39265
149584b18b0
15562c975a0
hex33ad5ac22

13871983650 has 96 divisors (see below), whose sum is σ = 39404561280. Its totient is φ = 3163691520.

The previous prime is 13871983607. The next prime is 13871983661. The reversal of 13871983650 is 5638917831.

13871983650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13871983593 and 13871983602.

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, 465396 + ... + 494304.

It is an arithmetic number, because the mean of its divisors is an integer number (410464180).

Almost surely, 213871983650 is an apocalyptic number.

13871983650 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 13871983650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702280640).

13871983650 is an abundant number, since it is smaller than the sum of its proper divisors (25532577630).

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

13871983650 is a wasteful number, since it uses less digits than its factorization.

13871983650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29388 (or 29383 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 13871983650 in words is "thirteen billion, eight hundred seventy-one million, nine hundred eighty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 457 525 914 1050 1371 2285 2742 3199 4570 6398 6855 9597 11425 13710 15995 19194 22850 28909 31990 34275 47985 57818 68550 79975 86727 95970 144545 159950 173454 202363 239925 289090 404726 433635 479850 607089 722725 867270 1011815 1214178 1445450 2023630 2168175 3035445 4336350 5059075 6070890 10118150 13211413 15177225 26422826 30354450 39634239 66057065 79268478 92479891 132114130 184959782 198171195 277439673 330285325 396342390 462399455 554879346 660570650 924798910 990855975 1387198365 1981711950 2311997275 2774396730 4623994550 6935991825 13871983650