Search a number
-
+
80618516356 = 227217211932
BaseRepresentation
bin100101100010100111…
…1001110111110000100
321201002102221221221011
41023011033032332010
52310101320010411
6101011410332004
75552542040200
oct1130517167604
9251072857834
1080618516356
1131210061624
121375ab8a004
1377aa314721
143c8ad81b00
15216c947c21
hex12c53cef84

80618516356 has 81 divisors (see below), whose sum is σ = 174484296399. Its totient is φ = 32491135488.

The previous prime is 80618516353. The next prime is 80618516359. The reversal of 80618516356 is 65361581608.

The square root of 80618516356 is 283934.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (80618516353) and next prime (80618516359).

It can be written as a sum of positive squares in 4 ways, for example, as 7459085956 + 73159430400 = 86366^2 + 270480^2 .

It is a super-3 number, since 3×806185163563 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (80618516351) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 67575696 + ... + 67576888.

Almost surely, 280618516356 is an apocalyptic number.

80618516356 is the 283934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80618516356

80618516356 is an abundant number, since it is smaller than the sum of its proper divisors (93865780043).

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

80618516356 is a wasteful number, since it uses less digits than its factorization.

80618516356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 80618516356 by its sum of digits (49), we get a square (3950307301444 = 19875382).

80618516356 divided by its sum of digits (49) gives a square (1645275844 = 405622).

The spelling of 80618516356 in words is "eighty billion, six hundred eighteen million, five hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1193 1666 2023 2386 3332 4046 4772 8092 8351 14161 16702 20281 28322 33404 40562 56644 58457 81124 116914 141967 233828 283934 344777 567868 689554 993769 1379108 1423249 1987538 2413439 2846498 3975076 4826878 5692996 9653756 9962743 16894073 19925486 24195233 33788146 39850972 48390466 67576292 69739201 96780932 139478402 169366631 278956804 338733262 411318961 677466524 822637922 1185566417 1645275844 2371132834 2879232727 4742265668 5758465454 11516930908 20154629089 40309258178 80618516356