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2666112840 = 233353179633
BaseRepresentation
bin1001111011101001…
…1010011101001000
320212210202120021000
42132322122131020
520430011102330
61120320015000
7123032404506
oct23672323510
96783676230
102666112840
111148a51046
12624a61460
13336480381
141b4131676
151090de560
hex9ee9a748

2666112840 has 128 divisors (see below), whose sum is σ = 9173836800. Its totient is φ = 688020480.

The previous prime is 2666112833. The next prime is 2666112853. The reversal of 2666112840 is 482116662.

It is a super-2 number, since 2×26661128402 = 14216315351225731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2666112795 and 2666112804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6337 + ... + 73296.

It is an arithmetic number, because the mean of its divisors is an integer number (71670600).

Almost surely, 22666112840 is an apocalyptic number.

2666112840 is a gapful number since it is divisible by the number (20) 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 2666112840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586918400).

2666112840 is an abundant number, since it is smaller than the sum of its proper divisors (6507723960).

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

2666112840 is a wasteful number, since it uses less digits than its factorization.

2666112840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79684 (or 79674 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2666112840 is about 51634.4152673389. The cubic root of 2666112840 is about 1386.6265415637.

The spelling of 2666112840 in words is "two billion, six hundred sixty-six million, one hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 79633 159266 238899 318532 398165 477798 637064 716697 796330 955596 1194495 1433394 1592660 1911192 2150091 2388990 2468623 2866788 3185320 3583485 4300182 4777980 4937246 5733576 7166970 7405869 8600364 9555960 9874492 10750455 12343115 14333940 14811738 17200728 19748984 21500910 22217607 24686230 28667880 29623476 37029345 43001820 44435214 49372460 59246952 66652821 74058690 86003640 88870428 98744920 111088035 133305642 148117380 177740856 222176070 266611284 296234760 333264105 444352140 533222568 666528210 888704280 1333056420 2666112840