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11066155015600 = 2452891141127241
BaseRepresentation
bin1010000100001000101000…
…1111010001110110110000
31110011220200100222200011101
42201002022033101312300
52422301441140444400
635311415455054144
72221334431426036
oct241021217216660
943156610880141
1011066155015600
113587148015323
1212a8840b11354
136236c30b3ab9
142a386766a556
15142cc946556a
hexa108a3d1db0

11066155015600 has 120 divisors (see below), whose sum is σ = 26888504538960. Its totient is φ = 4376182272000.

The previous prime is 11066155015519. The next prime is 11066155015681. The reversal of 11066155015600 is 651055166011.

It is an interprime number because it is at equal distance from previous prime (11066155015519) and next prime (11066155015681).

It is a self number, because there is not a number n which added to its sum of digits gives 11066155015600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406217980 + ... + 406245220.

It is an arithmetic number, because the mean of its divisors is an integer number (224070871158).

Almost surely, 211066155015600 is an apocalyptic number.

11066155015600 is a gapful number since it is divisible by the number (10) 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 11066155015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444252269480).

11066155015600 is an abundant number, since it is smaller than the sum of its proper divisors (15822349523360).

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

11066155015600 is a wasteful number, since it uses less digits than its factorization.

11066155015600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38759 (or 38748 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 11066155015600 in words is "eleven trillion, sixty-six billion, one hundred fifty-five million, fifteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 7120 8900 11411 17800 22822 27241 35600 45644 54482 57055 91288 108964 114110 136205 182576 217928 228220 272410 285275 435856 456440 544820 570550 681025 912880 1015579 1089640 1141100 1362050 2031158 2179280 2282200 2424449 2724100 4062316 4564400 4848898 5077895 5448200 8124632 9697796 10155790 10896400 12122245 16249264 19395592 20311580 24244490 25389475 38791184 40623160 48488980 50778950 60611225 81246320 96977960 101557900 121222450 193955920 203115800 242444900 310847051 406231600 484889800 621694102 969779600 1243388204 1554235255 2486776408 3108470510 4973552816 6216941020 7771176275 12433882040 15542352550 24867764080 27665387539 31084705100 55330775078 62169410200 110661550156 124338820400 138326937695 221323100312 276653875390 442646200624 553307750780 691634688475 1106615501560 1383269376950 2213231003120 2766538753900 5533077507800 11066155015600