Search a number
-
+
11009640880 = 2457431074273
BaseRepresentation
bin10100100000011100…
…11100100110110000
31001102021120201001001
422100032130212300
5140021432002010
65020250451344
7536554255240
oct122016344660
931367521031
1011009640880
11473a723167
122173133b54
131065c21904
1476629db20
15446845c3a
hex29039c9b0

11009640880 has 160 divisors (see below), whose sum is σ = 30221351424. Its totient is φ = 3651637248.

The previous prime is 11009640853. The next prime is 11009640899. The reversal of 11009640880 is 8804690011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2574424 + ... + 2578696.

Almost surely, 211009640880 is an apocalyptic number.

11009640880 is a gapful number since it is divisible by the number (10) 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 11009640880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110675712).

11009640880 is an abundant number, since it is smaller than the sum of its proper divisors (19211710544).

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

11009640880 is a wasteful number, since it uses less digits than its factorization.

11009640880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 11009640880 in words is "eleven billion, nine million, six hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 107 112 140 172 214 215 280 301 344 428 430 535 560 602 688 749 856 860 1070 1204 1498 1505 1712 1720 2140 2408 2996 3010 3440 3745 4273 4280 4601 4816 5992 6020 7490 8546 8560 9202 11984 12040 14980 17092 18404 21365 23005 24080 29911 29960 32207 34184 36808 42730 46010 59822 59920 64414 68368 73616 85460 92020 119644 128828 149555 161035 170920 183739 184040 239288 257656 299110 322070 341840 367478 368080 457211 478576 515312 598220 644140 734956 914422 918695 1196440 1286173 1288280 1469912 1828844 1837390 2286055 2392880 2572346 2576560 2939824 3200477 3657688 3674780 4572110 5144692 6400954 6430865 7315376 7349560 9144220 10289384 12801908 12861730 14699120 16002385 18288440 19660073 20578768 25603816 25723460 32004770 36576880 39320146 51207632 51446920 64009540 78640292 98300365 102893840 128019080 137620511 157280584 196600730 256038160 275241022 314561168 393201460 550482044 688102555 786402920 1100964088 1376205110 1572805840 2201928176 2752410220 5504820440 11009640880