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13266823950 = 234524769697
BaseRepresentation
bin11000101101100001…
…11010101100001110
31021020120212111010000
430112300322230032
5204132301331300
610032242025130
7646523100012
oct142660725416
937216774100
1013266823950
11569885a216
1226a30481a6
131335754cb3
148dbd84542
15529aaac00
hex316c3ab0e

13266823950 has 120 divisors (see below), whose sum is σ = 37646956512. Its totient is φ = 3462497280.

The previous prime is 13266823907. The next prime is 13266823961. The reversal of 13266823950 is 5932866231.

13266823950 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 13266823896 and 13266823905.

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 59 ways as a sum of consecutive naturals, for example, 155502 + ... + 225198.

Almost surely, 213266823950 is an apocalyptic number.

13266823950 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 13266823950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18823478256).

13266823950 is an abundant number, since it is smaller than the sum of its proper divisors (24380132562).

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

13266823950 is a wasteful number, since it uses less digits than its factorization.

13266823950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69768 (or 69754 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13266823950 in words is "thirteen billion, two hundred sixty-six million, eight hundred twenty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 81 90 94 135 141 150 162 225 235 270 282 405 423 450 470 675 705 810 846 1175 1269 1350 1410 2025 2115 2350 2538 3525 3807 4050 4230 6345 7050 7614 10575 12690 19035 21150 31725 38070 63450 69697 95175 139394 190350 209091 348485 418182 627273 696970 1045455 1254546 1742425 1881819 2090910 3136365 3275759 3484850 3763638 5227275 5645457 6272730 6551518 9409095 9827277 10454550 11290914 15681825 16378795 18818190 19654554 28227285 29481831 31363650 32757590 47045475 49136385 56454570 58963662 81893975 88445493 94090950 98272770 141136425 147409155 163787950 176890986 245681925 265336479 282272850 294818310 442227465 491363850 530672958 737045775 884454930 1326682395 1474091550 2211137325 2653364790 4422274650 6633411975 13266823950