Search a number
-
+
989022294016 = 2124123792
BaseRepresentation
bin11100110010001100101…
…00101001000000000000
310111112211122221011212221
432121012110221000000
5112201004201402031
62034203420100424
7131311615535221
oct16310624510000
93445748834787
10989022294016
11351495334a09
1213b819694714
1372358b78823
1435c244db248
151aad7b2ca11
hexe646529000

989022294016 has 117 divisors (see below), whose sum is σ = 2032581766953. Its totient is φ = 481176944640.

The previous prime is 989022293981. The next prime is 989022294023. The reversal of 989022294016 is 610492220989.

The square root of 989022294016 is 994496.

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

It can be written as a sum of positive squares in only one way, i.e., 47656636416 + 941365657600 = 218304^2 + 970240^2 .

It is a super-2 number, since 2×9890222940162 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2609557315 + ... + 2609557693.

Almost surely, 2989022294016 is an apocalyptic number.

989022294016 is the 994496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989022294016

989022294016 is an abundant number, since it is smaller than the sum of its proper divisors (1043559472937).

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

989022294016 is an frugal number, since it uses more digits than its factorization.

989022294016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 989022294016 in words is "nine hundred eighty-nine billion, twenty-two million, two hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 379 512 656 758 1024 1312 1516 1681 2048 2624 3032 3362 4096 5248 6064 6724 10496 12128 13448 15539 20992 24256 26896 31078 41984 48512 53792 62156 83968 97024 107584 124312 143641 167936 194048 215168 248624 287282 388096 430336 497248 574564 637099 776192 860672 994496 1149128 1274198 1552384 1721344 1988992 2298256 2548396 3442688 3977984 4596512 5096792 5889281 6885376 7955968 9193024 10193584 11778562 15911936 18386048 20387168 23557124 31823872 36772096 40774336 47114248 63647744 73544192 81548672 94228496 147088384 163097344 188456992 241460521 294176768 326194688 376913984 482921042 588353536 652389376 753827968 965842084 1304778752 1507655936 1931684168 2609557504 3015311872 3863368336 6030623744 7726736672 12061247488 15453473344 24122494976 30906946688 61813893376 123627786752 247255573504 494511147008 989022294016