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11666111151120 = 243588675481989
BaseRepresentation
bin1010100111000011101001…
…1010010011110000010000
31112022021021100022011220020
42221300322122103300100
53012114143423313440
640451200521143440
72312564052432216
oct251607232236020
945267240264806
1011666111151120
11379862a678888
121384b7902ab80
1366815692379a
142c48ddb72cb6
151536e051b3d0
hexa9c3a693c10

11666111151120 has 80 divisors (see below), whose sum is σ = 36169029766080. Its totient is φ = 3110611558912.

The previous prime is 11666111151067. The next prime is 11666111151127. The reversal of 11666111151120 is 2115111166611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×116661111511202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11666111151127) 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, 612915 + ... + 4869074.

It is an arithmetic number, because the mean of its divisors is an integer number (452112872076).

Almost surely, 211666111151120 is an apocalyptic number.

11666111151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11666111151120 is an abundant number, since it is smaller than the sum of its proper divisors (24502918614960).

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

11666111151120 is a wasteful number, since it uses less digits than its factorization.

11666111151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490872 (or 5490866 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 33.

The spelling of 11666111151120 in words is "eleven trillion, six hundred sixty-six billion, one hundred eleven million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8867 17734 26601 35468 44335 53202 70936 88670 106404 133005 141872 177340 212808 266010 354680 425616 532020 709360 1064040 2128080 5481989 10963978 16445967 21927956 27409945 32891934 43855912 54819890 65783868 82229835 87711824 109639780 131567736 164459670 219279560 263135472 328919340 438559120 657838680 1315677360 48608796463 97217592926 145826389389 194435185852 243043982315 291652778778 388870371704 486087964630 583305557556 729131946945 777740743408 972175929260 1166611115112 1458263893890 1944351858520 2333222230224 2916527787780 3888703717040 5833055575560 11666111151120