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11666111160 = 23351143320411
BaseRepresentation
bin10101101110101101…
…01011101010111000
31010010000211211222010
422313112223222320
5142343011024120
65205341125520
7562045210614
oct126726535270
933100754863
1011666111160
114a47240a90
122316b598a0
13113bc2c972
147c9546344
154842ba7e0
hex2b75abab8

11666111160 has 128 divisors (see below), whose sum is σ = 38270050560. Its totient is φ = 2821478400.

The previous prime is 11666111159. The next prime is 11666111201. The reversal of 11666111160 is 6111166611.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561355 + ... + 581765.

It is an arithmetic number, because the mean of its divisors is an integer number (298984770).

Almost surely, 211666111160 is an apocalyptic number.

11666111160 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 11666111160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19135025280).

11666111160 is an abundant number, since it is smaller than the sum of its proper divisors (26603939400).

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

11666111160 is a wasteful number, since it uses less digits than its factorization.

11666111160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20869 (or 20865 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 11666111160 its reverse (6111166611), we get a palindrome (17777277771).

The spelling of 11666111160 in words is "eleven billion, six hundred sixty-six million, one hundred eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 433 440 660 866 1299 1320 1732 2165 2598 3464 4330 4763 5196 6495 8660 9526 10392 12990 14289 17320 19052 20411 23815 25980 28578 38104 40822 47630 51960 57156 61233 71445 81644 95260 102055 114312 122466 142890 163288 190520 204110 224521 244932 285780 306165 408220 449042 489864 571560 612330 673563 816440 898084 1122605 1224660 1347126 1796168 2245210 2449320 2694252 3367815 4490420 5388504 6735630 8837963 8980840 13471260 17675926 26513889 26942520 35351852 44189815 53027778 70703704 88379630 97217593 106055556 132569445 176759260 194435186 212111112 265138890 291652779 353518520 388870372 486087965 530277780 583305558 777740744 972175930 1060555560 1166611116 1458263895 1944351860 2333222232 2916527790 3888703720 5833055580 11666111160