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2006933447304 = 233245760993601
BaseRepresentation
bin11101001101000110100…
…011100010001010001000
321002212020122100110121200
4131031012203202022020
5230340144430303204
64133550020504200
7264665452556112
oct35150643421210
97085218313550
102006933447304
11704154679425
12284b59b4b060
13117339b37906
146d1c96443b2
1537311a4c539
hex1d3468e2288

2006933447304 has 48 divisors (see below), whose sum is σ = 5447338594620. Its totient is φ = 667513958400.

The previous prime is 2006933447297. The next prime is 2006933447317. The reversal of 2006933447304 is 4037443396002.

2006933447304 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 9 + 334 + 4 + 7 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1954689202404 + 52244244900 = 1398102^2 + 228570^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2006933447304.

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 11 ways as a sum of consecutive naturals, for example, 30463897 + ... + 30529704.

Almost surely, 22006933447304 is an apocalyptic number.

2006933447304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006933447304 is an abundant number, since it is smaller than the sum of its proper divisors (3440405147316).

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

2006933447304 is a wasteful number, since it uses less digits than its factorization.

2006933447304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60994070 (or 60994063 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 2006933447304 in words is "two trillion, six billion, nine hundred thirty-three million, four hundred forty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 457 914 1371 1828 2742 3656 4113 5484 8226 10968 16452 32904 60993601 121987202 182980803 243974404 365961606 487948808 548942409 731923212 1097884818 1463846424 2195769636 4391539272 27874075657 55748151314 83622226971 111496302628 167244453942 222992605256 250866680913 334488907884 501733361826 668977815768 1003466723652 2006933447304