Search a number
-
+
980315831881 = 192312414
BaseRepresentation
bin11100100001111110110…
…00000111111001001001
310110201100220012002010101
432100333120013321021
5112030141323110011
62030203442245401
7130553066040541
oct16207730077111
93421326162111
10980315831881
11348827804061
12139ba9956861
137159c172b99
143563a096321
151a7785d52c1
hexe43f607e49

980315831881 has 45 divisors (see below), whose sum is σ = 1095805592865. Its totient is φ = 876840530400.

The previous prime is 980315831867. The next prime is 980315831899. The reversal of 980315831881 is 188138513089.

It is a happy number.

The square root of 980315831881 is 990109.

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

It can be written as a sum of positive squares in 2 ways, for example, as 800471985481 + 179843846400 = 894691^2 + 424080^2 .

It is not a de Polignac number, because 980315831881 - 27 = 980315831753 is a prime.

It is a super-2 number, since 2×9803158318812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (980315831851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23910142221 + ... + 23910142261.

It is an arithmetic number, because the mean of its divisors is an integer number (24351235397).

Almost surely, 2980315831881 is an apocalyptic number.

980315831881 is the 990109-th square number.

980315831881 is the 495055-th centered octagonal number.

It is an amenable number.

980315831881 is a deficient number, since it is larger than the sum of its proper divisors (115489760984).

980315831881 is an frugal number, since it uses more digits than its factorization.

980315831881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 55.

The spelling of 980315831881 in words is "nine hundred eighty billion, three hundred fifteen million, eight hundred thirty-one thousand, eight hundred eighty-one".

Divisors: 1 19 31 41 361 589 779 961 1271 1681 11191 14801 18259 24149 31939 39401 52111 68921 346921 458831 606841 748619 990109 1309499 1615441 2136551 2825761 14223761 18812071 24880481 30693379 40594469 53689459 66233081 87598591 583174201 771294911 1020099721 1258428539 1664373229 2715556321 23910142241 31623091351 51595570099 980315831881