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11661505050 = 2352137184229
BaseRepresentation
bin10101101110001010…
…00111001000011010
31010002201011211120110
422313011013020122
5142340321130200
65205054305150
7561661104666
oct126705071032
933081154513
1011661505050
114a44685388
1223154b81b6
13113aca9260
147c8aa78a6
15483baab50
hex2b714721a

11661505050 has 96 divisors (see below), whose sum is σ = 31584228480. Its totient is φ = 2830060800.

The previous prime is 11661505049. The next prime is 11661505069. The reversal of 11661505050 is 5050516611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11661504999 and 11661505017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96336 + ... + 180564.

It is an arithmetic number, because the mean of its divisors is an integer number (329002380).

Almost surely, 211661505050 is an apocalyptic number.

11661505050 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 11661505050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792114240).

11661505050 is an abundant number, since it is smaller than the sum of its proper divisors (19922723430).

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

11661505050 is a wasteful number, since it uses less digits than its factorization.

11661505050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84328 (or 84323 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 11661505050 in words is "eleven billion, six hundred sixty-one million, five hundred five thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 71 75 78 130 142 150 195 213 325 355 390 426 650 710 923 975 1065 1775 1846 1950 2130 2769 3550 4615 5325 5538 9230 10650 13845 23075 27690 46150 69225 84229 138450 168458 252687 421145 505374 842290 1094977 1263435 2105725 2189954 2526870 3284931 4211450 5474885 5980259 6317175 6569862 10949770 11960518 12634350 16424655 17940777 27374425 29901295 32849310 35881554 54748850 59802590 77743367 82123275 89703885 149506475 155486734 164246550 179407770 233230101 299012950 388716835 448519425 466460202 777433670 897038850 1166150505 1943584175 2332301010 3887168350 5830752525 11661505050