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11161261403736 = 2334147733305959
BaseRepresentation
bin1010001001101010111100…
…0001010110111001011000
31110112000011111102202221020
42202122233001112321120
52430331230404404421
635423225051042440
72231242314406413
oct242325701267130
943460144382836
1011161261403736
1136135120a83a4
121303163a40420
1362c66bb04002
142a82ca800b7a
151454e3c60dc6
hexa26af056e58

11161261403736 has 128 divisors (see below), whose sum is σ = 29591780198400. Its totient is φ = 3503786526720.

The previous prime is 11161261403603. The next prime is 11161261403749. The reversal of 11161261403736 is 63730416216111.

It is a super-2 number, since 2×111612614037362 (a number of 27 digits) contains 22 as substring.

It is a congruent 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, 1723125 + ... + 5029083.

It is an arithmetic number, because the mean of its divisors is an integer number (231185782800).

Almost surely, 211161261403736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11161261403736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795890099200).

11161261403736 is an abundant number, since it is smaller than the sum of its proper divisors (18430518794664).

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

11161261403736 is a wasteful number, since it uses less digits than its factorization.

11161261403736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306129 (or 3306125 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

Adding to 11161261403736 its reverse (63730416216111), we get a palindrome (74891677619847).

The spelling of 11161261403736 in words is "eleven trillion, one hundred sixty-one billion, two hundred sixty-one million, four hundred three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 47 73 82 94 123 141 146 164 188 219 246 282 292 328 376 438 492 564 584 876 984 1128 1752 1927 2993 3431 3854 5781 5986 6862 7708 8979 10293 11562 11972 13724 15416 17958 20586 23124 23944 27448 35916 41172 46248 71832 82344 140671 281342 422013 562684 844026 1125368 1688052 3305959 3376104 6611918 9917877 13223836 19835754 26447672 39671508 79343016 135544319 155380073 241335007 271088638 310760146 406632957 466140219 482670014 542177276 621520292 724005021 813265914 932280438 965340028 1084354552 1243040584 1448010042 1626531828 1864560876 1930680056 2896020084 3253063656 3729121752 5792040168 6370582993 9894735287 11342745329 12741165986 19111748979 19789470574 22685490658 25482331972 29684205861 34028235987 38223497958 39578941148 45370981316 50964663944 59368411722 68056471974 76446995916 79157882296 90741962632 118736823444 136112943948 152893991832 237473646888 272225887896 465052558489 930105116978 1395157675467 1860210233956 2790315350934 3720420467912 5580630701868 11161261403736