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13209779982 = 23719157105437
BaseRepresentation
bin11000100110101110…
…10011111100001110
31021002121112100111110
430103113103330032
5204023200424412
610022443232450
7645231164040
oct142327237416
937077470443
1013209779982
115669638243
122687b18726
1313269a1679
148d4575a90
15524a8dd3c
hex3135d3f0e

13209779982 has 64 divisors (see below), whose sum is σ = 31985671680. Its totient is φ = 3552771456.

The previous prime is 13209779981. The next prime is 13209779983. The reversal of 13209779982 is 28997790231.

It is an interprime number because it is at equal distance from previous prime (13209779981) and next prime (13209779983).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13209779981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72568 + ... + 178004.

It is an arithmetic number, because the mean of its divisors is an integer number (499776120).

Almost surely, 213209779982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13209779982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992835840).

13209779982 is an abundant number, since it is smaller than the sum of its proper divisors (18775891698).

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

13209779982 is a wasteful number, since it uses less digits than its factorization.

13209779982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105625.

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 13209779982 in words is "thirteen billion, two hundred nine million, seven hundred seventy-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 157 266 314 399 471 798 942 1099 2198 2983 3297 5966 6594 8949 17898 20881 41762 62643 105437 125286 210874 316311 632622 738059 1476118 2003303 2214177 4006606 4428354 6009909 12019818 14023121 16553609 28046242 33107218 42069363 49660827 84138726 99321654 115875263 231750526 314518571 347625789 629037142 695251578 943555713 1887111426 2201629997 4403259994 6604889991 13209779982