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30827803005 = 32537154911953
BaseRepresentation
bin11100101101011110…
…101111000101111101
32221120102221122121200
4130231132233011331
51001113404144010
622055002450113
72140641000456
oct345536570575
987512848550
1030827803005
111208a54474a
125b84203939
132ba3a30c6c
1416c637012d
15c06643cc0
hex72d7af17d

30827803005 has 48 divisors (see below), whose sum is σ = 54919066800. Its totient is φ = 15985465344.

The previous prime is 30827802913. The next prime is 30827803007. The reversal of 30827803005 is 50030872803.

It can be written as a sum of positive squares in 8 ways, for example, as 2884334436 + 27943468569 = 53706^2 + 167163^2 .

It is not a de Polignac number, because 30827803005 - 210 = 30827801981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30827803007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2573109 + ... + 2585061.

It is an arithmetic number, because the mean of its divisors is an integer number (1144147225).

Almost surely, 230827803005 is an apocalyptic number.

It is an amenable number.

30827803005 is a deficient number, since it is larger than the sum of its proper divisors (24091263795).

30827803005 is a wasteful number, since it uses less digits than its factorization.

30827803005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 3082 and 7803005, that added together give a palindrome (7806087).

The spelling of 30827803005 in words is "thirty billion, eight hundred twenty-seven million, eight hundred three thousand, five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1549 1665 4647 7745 11953 13941 23235 35859 57313 59765 69705 107577 171939 179295 286565 442261 515817 537885 859695 1326783 2211305 2579085 3980349 6633915 18515197 19901745 55545591 92575985 166636773 277727955 685062289 833183865 2055186867 3425311445 6165560601 10275934335 30827803005