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11666400320 = 265831732539
BaseRepresentation
bin10101101110101111…
…10010010001000000
31010010001101112121202
422313113302101000
5142343044302240
65205351240332
7562050523631
oct126727622100
933101345552
1011666400320
114a47419263
1223170790a8
13113c001473
147c95bd888
15484326315
hex2b75f2440

11666400320 has 112 divisors (see below), whose sum is σ = 28288975680. Its totient is φ = 4581881856.

The previous prime is 11666400307. The next prime is 11666400323. The reversal of 11666400320 is 2300466611.

It is a happy number.

It is a super-2 number, since 2×116664003202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11666400323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4593611 + ... + 4596149.

It is an arithmetic number, because the mean of its divisors is an integer number (252580140).

Almost surely, 211666400320 is an apocalyptic number.

11666400320 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 11666400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14144487840).

11666400320 is an abundant number, since it is smaller than the sum of its proper divisors (16622575360).

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

11666400320 is a wasteful number, since it uses less digits than its factorization.

11666400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 11666400320 its reverse (2300466611), we get a palindrome (13966866931).

The spelling of 11666400320 in words is "eleven billion, six hundred sixty-six million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 173 320 332 346 415 664 692 830 865 1328 1384 1660 1730 2539 2656 2768 3320 3460 5078 5312 5536 6640 6920 10156 11072 12695 13280 13840 14359 20312 25390 26560 27680 28718 40624 50780 55360 57436 71795 81248 101560 114872 143590 162496 203120 210737 229744 287180 406240 421474 439247 459488 574360 812480 842948 878494 918976 1053685 1148720 1685896 1756988 2107370 2196235 2297440 3371792 3513976 4214740 4392470 4594880 6743584 7027952 8429480 8784940 13487168 14055904 16858960 17569880 28111808 33717920 35139760 36457501 67435840 70279520 72915002 140559040 145830004 182287505 291660008 364575010 583320016 729150020 1166640032 1458300040 2333280064 2916600080 5833200160 11666400320