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1066927741120 = 26517303764579
BaseRepresentation
bin11111000011010011101…
…10010101100011000000
310202222221000202221110201
433201221312111203000
5114440032000203440
62134050112134544
7140040315110503
oct17415166254300
93688830687421
101066927741120
1138153299343a
1215293bb37454
13797c307bc17
14398d500713a
151cb472ad19a
hexf869d958c0

1066927741120 has 112 divisors (see below), whose sum is σ = 2690997452640. Its totient is φ = 401528438784.

The previous prime is 1066927741097. The next prime is 1066927741129. The reversal of 1066927741120 is 211477296601.

It is a super-2 number, since 2×10669277411202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066927741129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16488991 + ... + 16553569.

It is an arithmetic number, because the mean of its divisors is an integer number (24026762970).

Almost surely, 21066927741120 is an apocalyptic number.

1066927741120 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 1066927741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345498726320).

1066927741120 is an abundant number, since it is smaller than the sum of its proper divisors (1624069711520).

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

1066927741120 is a wasteful number, since it uses less digits than its factorization.

1066927741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67650 (or 67640 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 1066927741120 in words is "one trillion, sixty-six billion, nine hundred twenty-seven million, seven hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 3037 5440 6074 12148 15185 24296 30370 48592 51629 60740 64579 97184 103258 121480 129158 194368 206516 242960 258145 258316 322895 413032 485920 516290 516632 645790 826064 971840 1032580 1033264 1097843 1291580 1652128 2065160 2066528 2195686 2583160 3304256 4130320 4133056 4391372 5166320 5489215 8260640 8782744 10332640 10978430 16521280 17565488 20665280 21956860 35130976 43913720 70261952 87827440 175654880 196126423 351309760 392252846 784505692 980632115 1569011384 1961264230 3138022768 3334149191 3922528460 6276045536 6668298382 7845056920 12552091072 13336596764 15690113840 16670745955 26673193528 31380227680 33341491910 53346387056 62760455360 66682983820 106692774112 133365967640 213385548224 266731935280 533463870560 1066927741120