Search a number
-
+
269944106080 = 25511154999017
BaseRepresentation
bin1111101101100111101…
…1000010110001100000
3221210202212110102022211
43323121323002301200
513410321142343310
6324002143011504
725334316020425
oct3733173026140
9853685412284
10269944106080
11a4534457350
1244397899b94
131c5bccc67ac
14d0cb507d4c
15704dbe3c8a
hex3ed9ec2c60

269944106080 has 96 divisors (see below), whose sum is σ = 696175754400. Its totient is φ = 98097131520.

The previous prime is 269944106053. The next prime is 269944106123. The reversal of 269944106080 is 80601449962.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676732 + ... + 2775748.

It is an arithmetic number, because the mean of its divisors is an integer number (7251830775).

Almost surely, 2269944106080 is an apocalyptic number.

269944106080 is a gapful number since it is divisible by the number (20) 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 269944106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348087877200).

269944106080 is an abundant number, since it is smaller than the sum of its proper divisors (426231648320).

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

269944106080 is a wasteful number, since it uses less digits than its factorization.

269944106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100592 (or 100584 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 269944106080 in words is "two hundred sixty-nine billion, nine hundred forty-four million, one hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1549 1760 3098 6196 7745 12392 15490 17039 24784 30980 34078 49568 61960 68156 85195 99017 123920 136312 170390 198034 247840 272624 340780 396068 495085 545248 681560 792136 990170 1089187 1363120 1584272 1980340 2178374 2726240 3168544 3960680 4356748 5445935 7921360 8713496 10891870 15842720 17426992 21783740 34853984 43567480 87134960 153377333 174269920 306754666 613509332 766886665 1227018664 1533773330 1687150663 2454037328 3067546660 3374301326 4908074656 6135093320 6748602652 8435753315 12270186640 13497205304 16871506630 24540373280 26994410608 33743013260 53988821216 67486026520 134972053040 269944106080