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11534554050 = 2352232612383
BaseRepresentation
bin10101011111000001…
…10101001111000010
31002202212022001112120
422233200311033002
5142110321212200
65144321305110
7555560043315
oct125740651702
932685261476
1011534554050
114989a561a8
12229aa95196
13111a8ba516
147b5c9c97c
154779809a0
hex2af8353c2

11534554050 has 144 divisors (see below), whose sum is σ = 30406470528. Its totient is φ = 2892700800.

The previous prime is 11534554037. The next prime is 11534554051. The reversal of 11534554050 is 5045543511.

11534554050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11534554051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4839159 + ... + 4841541.

Almost surely, 211534554050 is an apocalyptic number.

11534554050 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 11534554050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203235264).

11534554050 is an abundant number, since it is smaller than the sum of its proper divisors (18871916478).

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

11534554050 is a wasteful number, since it uses less digits than its factorization.

11534554050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 11534554050 in words is "eleven billion, five hundred thirty-four million, five hundred fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 61 69 75 115 122 138 150 183 230 305 345 366 529 575 610 690 915 1058 1150 1403 1525 1587 1725 1830 2383 2645 2806 3050 3174 3450 4209 4575 4766 5290 7015 7149 7935 8418 9150 11915 13225 14030 14298 15870 21045 23830 26450 32269 35075 35745 39675 42090 54809 59575 64538 70150 71490 79350 96807 105225 109618 119150 145363 161345 164427 178725 193614 210450 274045 290726 322690 328854 357450 436089 484035 548090 726815 806725 822135 872178 968070 1260607 1370225 1453630 1613450 1644270 2180445 2420175 2521214 2740450 3343349 3634075 3781821 4110675 4360890 4840350 6303035 6686698 7268150 7563642 8221350 10030047 10902225 12606070 16716745 18909105 20060094 21804450 31515175 33433490 37818210 50150235 63030350 76897027 83583725 94545525 100300470 153794054 167167450 189091050 230691081 250751175 384485135 461382162 501502350 768970270 1153455405 1922425675 2306910810 3844851350 5767277025 11534554050