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8653993568 = 251125094391
BaseRepresentation
bin10000000111101000…
…10111011001100000
3211100010000102102022
420003310113121200
5120210410243233
63550421041012
7424311505643
oct100364273140
924303012368
108653993568
113740a54500
121816256168
13a7bb94a6c
145c14a7a5a
15359b31398
hex203d17660

8653993568 has 72 divisors (see below), whose sum is σ = 18768289680. Its totient is φ = 3925011200.

The previous prime is 8653993493. The next prime is 8653993571.

8653993568 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8653993568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1968653 + ... + 1973043.

It is an arithmetic number, because the mean of its divisors is an integer number (260670690).

Almost surely, 28653993568 is an apocalyptic number.

8653993568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8653993568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384144840).

8653993568 is an abundant number, since it is smaller than the sum of its proper divisors (10114296112).

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

8653993568 is a wasteful number, since it uses less digits than its factorization.

8653993568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4913 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 62.

The square root of 8653993568 is about 93026.8432658015. The cubic root of 8653993568 is about 2053.0783470215.

The spelling of 8653993568 in words is "eight billion, six hundred fifty-three million, nine hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 509 968 1018 1936 2036 3872 4072 4391 5599 8144 8782 11198 16288 17564 22396 35128 44792 48301 61589 70256 89584 96602 123178 140512 179168 193204 246356 386408 492712 531311 772816 985424 1062622 1545632 1970848 2125244 2235019 4250488 4470038 8500976 8940076 17001952 17880152 24585209 35760304 49170418 71520608 98340836 196681672 270437299 393363344 540874598 786726688 1081749196 2163498392 4326996784 8653993568