Search a number
-
+
981853089581 = 7131719291151873
BaseRepresentation
bin11100100100110110000…
…00010010111100101101
310110212100000210212020202
432102123000102330231
5112041313342331311
62031020155123245
7130636143362450
oct16223300227455
93425300725222
10981853089581
11349446521571
1213a358743525
13717857ab720
14357442d7497
151a81853de3b
hexe49b012f2d

981853089581 has 64 divisors (see below), whose sum is σ = 1393306790400. Its totient is φ = 668786098176.

The previous prime is 981853089557. The next prime is 981853089611. The reversal of 981853089581 is 185980358189.

It is not a de Polignac number, because 981853089581 - 214 = 981853073197 is a prime.

It is a super-2 number, since 2×9818530895812 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981853089521) 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 63 ways as a sum of consecutive naturals, for example, 276461 + ... + 1428333.

It is an arithmetic number, because the mean of its divisors is an integer number (21770418600).

Almost surely, 2981853089581 is an apocalyptic number.

981853089581 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

981853089581 is a deficient number, since it is larger than the sum of its proper divisors (411453700819).

981853089581 is a wasteful number, since it uses less digits than its factorization.

981853089581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151958.

The product of its (nonzero) digits is 24883200, while the sum is 65.

The spelling of 981853089581 in words is "nine hundred eighty-one billion, eight hundred fifty-three million, eighty-nine thousand, five hundred eighty-one".

Divisors: 1 7 13 17 19 29 91 119 133 203 221 247 323 377 493 551 1547 1729 2261 2639 3451 3857 4199 6409 7163 9367 29393 44863 50141 65569 121771 852397 1151873 8063111 14974349 19581841 21885587 33404317 104820443 137072887 153199109 233830219 254563933 284512631 372054979 434256121 567873389 634682023 1781947531 1991588417 2604384853 3039792847 3975113723 4442774161 4836714727 7382354057 8250866299 10789594391 33857003089 51676478399 57756064093 75527160737 140264727083 981853089581