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2666806272 = 210321322259
BaseRepresentation
bin1001111011110100…
…0011110000000000
320212212001210110200
42132331003300000
520430200300042
61120342525200
7123041323254
oct23675036000
96785053420
102666806272
111149385029
12625136800
13336663ba0
141b4272264
151091c9c4c
hex9ef43c00

2666806272 has 132 divisors (see below), whose sum is σ = 8293052040. Its totient is φ = 820518912.

The previous prime is 2666806267. The next prime is 2666806297. The reversal of 2666806272 is 2726086662.

It is a super-2 number, since 2×26668062722 = 14223711384757075968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108679 + ... + 130937.

Almost surely, 22666806272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146526020).

2666806272 is an abundant number, since it is smaller than the sum of its proper divisors (5626245768).

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

2666806272 is a wasteful number, since it uses less digits than its factorization.

2666806272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22298 (or 22277 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2666806272 is about 51641.1296545689. The cubic root of 2666806272 is about 1386.7467475119.

The spelling of 2666806272 in words is "two billion, six hundred sixty-six million, eight hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 13312 14976 19968 22259 29952 39936 44518 59904 66777 89036 119808 133554 178072 200331 267108 289367 356144 400662 534216 578734 712288 801324 868101 1068432 1157468 1424576 1602648 1736202 2136864 2314936 2604303 2849152 3205296 3472404 4273728 4629872 5208606 5698304 6410592 6944808 8547456 9259744 10417212 11396608 12821184 13889616 17094912 18519488 20834424 22793216 25642368 27779232 34189824 37038976 41668848 51284736 55558464 68379648 74077952 83337696 102569472 111116928 148155904 166675392 205138944 222233856 296311808 333350784 444467712 666701568 888935424 1333403136 2666806272