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8689781961 = 32722321932
BaseRepresentation
bin10000001011111001…
…11000110011001001
3211102121100122212100
420011330320303021
5120244041010321
63554140104013
7425224633200
oct100574706311
924377318770
108689781961
11375a178893
121826235009
13a86415623
145c6142237
1535cd50326
hex205f38cc9

8689781961 has 81 divisors (see below), whose sum is σ = 15343130439. Its totient is φ = 4725084672.

The previous prime is 8689781959. The next prime is 8689781977. The reversal of 8689781961 is 1691879868.

The square root of 8689781961 is 93219.

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., 2105433225 + 6584348736 = 45885^2 + 81144^2 .

It is not a de Polignac number, because 8689781961 - 21 = 8689781959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8689781981) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 45024681 + ... + 45024873.

Almost surely, 28689781961 is an apocalyptic number.

8689781961 is the 93219-th square number.

8689781961 is the 46610-th centered octagonal number.

It is an amenable number.

8689781961 is a deficient number, since it is larger than the sum of its proper divisors (6653348478).

8689781961 is a wasteful number, since it uses less digits than its factorization.

8689781961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The cubic root of 8689781961 is about 2055.9046075068.

The spelling of 8689781961 in words is "eight billion, six hundred eighty-nine million, seven hundred eighty-one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 193 207 441 483 529 579 1127 1351 1449 1587 1737 3381 3703 4053 4439 4761 9457 10143 11109 12159 13317 25921 28371 31073 33327 37249 39951 77763 85113 93219 102097 111747 217511 233289 260743 279657 306291 335241 652533 714679 782229 856727 918873 1825201 1957599 2144037 2346687 2570181 5002753 5475603 5997089 6432111 7710543 15008259 16426809 17991267 19704721 41979623 45024777 53973801 59114163 125938869 137933047 177342489 377816607 413799141 965531329 1241397423 2896593987 8689781961