Search a number
-
+
8309011005 = 3253741592063
BaseRepresentation
bin1111011110100000…
…10111001000111101
3210110001212111022100
413233100113020331
5114004101323010
63452254535313
7412622266611
oct75720271075
923401774270
108309011005
113584246a49
12173a807539
13a25577579
1458b745341
153396d92c0
hex1ef41723d

8309011005 has 96 divisors (see below), whose sum is σ = 15416593920. Its totient is φ = 4133237760.

The previous prime is 8309010971. The next prime is 8309011021. The reversal of 8309011005 is 5001109038.

It is not a de Polignac number, because 8309011005 - 27 = 8309010877 is a prime.

It is a super-2 number, since 2×83090110052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8309011005.

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 95 ways as a sum of consecutive naturals, for example, 4026604 + ... + 4028666.

It is an arithmetic number, because the mean of its divisors is an integer number (160589520).

Almost surely, 28309011005 is an apocalyptic number.

It is an amenable number.

8309011005 is a deficient number, since it is larger than the sum of its proper divisors (7107582915).

8309011005 is a wasteful number, since it uses less digits than its factorization.

8309011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 8309011005 is about 91153.7766908207. The cubic root of 8309011005 is about 2025.4262989104.

The spelling of 8309011005 in words is "eight billion, three hundred nine million, eleven thousand, five".

Divisors: 1 3 5 9 15 37 41 45 59 111 123 177 185 205 295 333 369 531 555 615 885 1517 1665 1845 2063 2183 2419 2655 4551 6189 6549 7257 7585 10315 10915 12095 13653 18567 19647 21771 22755 30945 32745 36285 68265 76331 84583 89503 92835 98235 108855 121717 228993 253749 268509 365151 381655 422915 447515 608585 686979 761247 805527 1095453 1144965 1268745 1342545 1825755 3129571 3434895 3806235 4027635 4503529 4990397 5477265 9388713 13510587 14971191 15647855 22517645 24951985 28166139 40531761 44913573 46943565 67552935 74855955 140830695 184644689 202658805 224567865 553934067 923223445 1661802201 2769670335 8309011005