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11080690176 = 29341251701
BaseRepresentation
bin10100101000111010…
…11110101000000000
31001121020021101100110
422110131132220000
5140143124041201
65031305351320
7541406212113
oct122435365000
931536241313
1011080690176
114776840596
122192a98540
131077869c0a
147718b657a
1544cbcc6d6
hex29475ea00

11080690176 has 160 divisors (see below), whose sum is σ = 30403429056. Its totient is φ = 3584000000.

The previous prime is 11080690171. The next prime is 11080690241. The reversal of 11080690176 is 67109608011.

It is not an unprimeable number, because it can be changed into a prime (11080690171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15806626 + ... + 15807326.

Almost surely, 211080690176 is an apocalyptic number.

11080690176 is a gapful number since it is divisible by the number (16) 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 11080690176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201714528).

11080690176 is an abundant number, since it is smaller than the sum of its proper divisors (19322738880).

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

11080690176 is an equidigital number, since it uses as much as digits as its factorization.

11080690176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 11080690176 in words is "eleven billion, eighty million, six hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 251 256 328 384 492 502 512 656 701 753 768 984 1004 1312 1402 1506 1536 1968 2008 2103 2624 2804 3012 3936 4016 4206 5248 5608 6024 7872 8032 8412 10291 10496 11216 12048 15744 16064 16824 20582 20992 22432 24096 28741 30873 31488 32128 33648 41164 44864 48192 57482 61746 62976 64256 67296 82328 86223 89728 96384 114964 123492 128512 134592 164656 172446 175951 179456 192768 229928 246984 269184 329312 344892 351902 358912 385536 459856 493968 527853 538368 658624 689784 703804 919712 987936 1055706 1076736 1317248 1379568 1407608 1839424 1975872 2111412 2634496 2759136 2815216 3678848 3951744 4222824 5268992 5518272 5630432 7213991 7357696 7903488 8445648 11036544 11260864 14427982 14715392 15806976 16891296 21641973 22073088 22521728 28855964 33782592 43283946 44146176 45043456 57711928 67565184 86567892 90086912 115423856 135130368 173135784 230847712 270260736 346271568 461695424 692543136 923390848 1385086272 1846781696 2770172544 3693563392 5540345088 11080690176