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2166478080 = 28351343399
BaseRepresentation
bin1000000100100001…
…1101010100000000
312120222121111012220
42001020131110000
513414104244310
6554551051040
7104454521424
oct20110352400
95528544186
102166478080
11a11a14058
12505670a80
13286ac55c0
14167a32b84
15ca2e9670
hex8121d500

2166478080 has 144 divisors (see below), whose sum is σ = 7451606400. Its totient is φ = 533274624.

The previous prime is 2166478063. The next prime is 2166478091. The reversal of 2166478080 is 808746612.

It is a super-2 number, since 2×21664780802 = 9387254542240972800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28221 + ... + 71619.

Almost surely, 22166478080 is an apocalyptic number.

2166478080 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 2166478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725803200).

2166478080 is an abundant number, since it is smaller than the sum of its proper divisors (5285128320).

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

2166478080 is a wasteful number, since it uses less digits than its factorization.

2166478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43436 (or 43422 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2166478080 is about 46545.4410227253. The cubic root of 2166478080 is about 1293.9518020759.

The spelling of 2166478080 in words is "two billion, one hundred sixty-six million, four hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 43399 49920 86798 130197 173596 216995 260394 347192 433990 520788 564187 650985 694384 867980 1041576 1128374 1301970 1388768 1692561 1735960 2083152 2256748 2603940 2777536 2820935 3385122 3471920 4166304 4513496 5207880 5555072 5641870 6770244 6943840 8332608 8462805 9026992 10415760 11110144 11283740 13540488 13887680 16665216 16925610 18053984 20831520 22567480 27080976 27775360 33330432 33851220 36107968 41663040 45134960 54161952 55550720 67702440 72215936 83326080 90269920 108323904 135404880 144431872 166652160 180539840 216647808 270809760 361079680 433295616 541619520 722159360 1083239040 2166478080