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2666434032 = 243318313371
BaseRepresentation
bin1001111011101110…
…1000110111110000
320212211100212212000
42132323220313300
520430101342112
61120330534000
7123035213103
oct23673506760
96784325760
102666434032
111149150399
12624b97300
13336563622
141b41b673a
151091547dc
hex9eee8df0

2666434032 has 80 divisors (see below), whose sum is σ = 7660104960. Its totient is φ = 888062400.

The previous prime is 2666434021. The next prime is 2666434051. The reversal of 2666434032 is 2304346662.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789307 + ... + 792677.

It is an arithmetic number, because the mean of its divisors is an integer number (95751312).

Almost surely, 22666434032 is an apocalyptic number.

It is an amenable number.

2666434032 is an abundant number, since it is smaller than the sum of its proper divisors (4993670928).

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

2666434032 is a wasteful number, since it uses less digits than its factorization.

2666434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 2666434032 is about 51637.5254248303. The cubic root of 2666434032 is about 1386.6822225614.

The spelling of 2666434032 in words is "two billion, six hundred sixty-six million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1831 3371 3662 5493 6742 7324 10113 10986 13484 14648 16479 20226 21972 26968 29296 30339 32958 40452 43944 49437 53936 60678 65916 80904 87888 91017 98874 121356 131832 161808 182034 197748 242712 263664 364068 395496 485424 728136 790992 1456272 6172301 12344602 18516903 24689204 37033806 49378408 55550709 74067612 98756816 111101418 148135224 166652127 222202836 296270448 333304254 444405672 666608508 888811344 1333217016 2666434032