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11505540150 = 232521316711777
BaseRepresentation
bin10101011011100100…
…01001110000110110
31002200211200222221200
422231302021300312
5142030404241100
65141403353330
7555055322556
oct125562116066
932624628850
1011505540150
114974639675
122291222846
13111489c330
147b20a9166
1547514de00
hex2adc89c36

11505540150 has 144 divisors (see below), whose sum is σ = 33491543904. Its totient is φ = 2814935040.

The previous prime is 11505540103. The next prime is 11505540199. The reversal of 11505540150 is 5104550511.

11505540150 is a `hidden beast` number, since 1 + 1 + 505 + 5 + 4 + 0 + 150 = 666.

11505540150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 971062 + ... + 982838.

It is an arithmetic number, because the mean of its divisors is an integer number (232580166).

Almost surely, 211505540150 is an apocalyptic number.

11505540150 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 11505540150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745771952).

11505540150 is an abundant number, since it is smaller than the sum of its proper divisors (21986003754).

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

11505540150 is a wasteful number, since it uses less digits than its factorization.

11505540150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 11505540150 in words is "eleven billion, five hundred five million, five hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 167 195 225 234 325 334 390 450 501 585 650 835 975 1002 1170 1503 1670 1950 2171 2505 2925 3006 4175 4342 5010 5850 6513 7515 8350 10855 11777 12525 13026 15030 19539 21710 23554 25050 32565 35331 37575 39078 54275 58885 65130 70662 75150 97695 105993 108550 117770 153101 162825 176655 195390 211986 294425 306202 325650 353310 459303 488475 529965 588850 765505 883275 918606 976950 1059930 1377909 1531010 1766550 1966759 2296515 2649825 2755818 3827525 3933518 4593030 5299650 5900277 6889545 7655050 9833795 11482575 11800554 13779090 17700831 19667590 22965150 25567867 29501385 34447725 35401662 49168975 51135734 59002770 68895450 76703601 88504155 98337950 127839335 147506925 153407202 177008310 230110803 255678670 295013850 383518005 442520775 460221606 639196675 767036010 885041550 1150554015 1278393350 1917590025 2301108030 3835180050 5752770075 11505540150