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8681534688 = 253471979767
BaseRepresentation
bin10000001010111010…
…11011010011100000
3211102000211122201210
420011131123103200
5120234433102223
63553243230120
7425064553521
oct100535332340
924360748653
108681534688
113755555562
121823518340
13a847b8798
145c4dd6848
1535c271893
hex20575b4e0

8681534688 has 96 divisors (see below), whose sum is σ = 23394438144. Its totient is φ = 2817608192.

The previous prime is 8681534681. The next prime is 8681534699. The reversal of 8681534688 is 8864351868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8681534681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883981 + ... + 893747.

It is an arithmetic number, because the mean of its divisors is an integer number (243692064).

Almost surely, 28681534688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8681534688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697219072).

8681534688 is an abundant number, since it is smaller than the sum of its proper divisors (14712903456).

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

8681534688 is a wasteful number, since it uses less digits than its factorization.

8681534688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10016 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 57.

The square root of 8681534688 is about 93174.7534904171. The cubic root of 8681534688 is about 2055.2539976478.

The spelling of 8681534688 in words is "eight billion, six hundred eighty-one million, five hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 197 282 376 394 564 591 752 788 1128 1182 1504 1576 2256 2364 3152 4512 4728 6304 9259 9456 9767 18518 18912 19534 27777 29301 37036 39068 55554 58602 74072 78136 111108 117204 148144 156272 222216 234408 296288 312544 444432 459049 468816 888864 918098 937632 1377147 1836196 1924099 2754294 3672392 3848198 5508588 5772297 7344784 7696396 11017176 11544594 14689568 15392792 22034352 23089188 30785584 44068704 46178376 61571168 90432653 92356752 180865306 184713504 271297959 361730612 542595918 723461224 1085191836 1446922448 2170383672 2893844896 4340767344 8681534688