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9889565660 = 22513225111657
BaseRepresentation
bin10010011010111011…
…01100101111011100
3221112012221222200122
421031131230233130
5130223212100120
64313155414112
7500033630642
oct111535545734
927465858618
109889565660
114215447067
121abbbb4338
13c17b62500
1469b617192
153cd346a25
hex24d76cbdc

9889565660 has 72 divisors (see below), whose sum is σ = 22580053776. Its totient is φ = 3636672000.

The previous prime is 9889565659. The next prime is 9889565681. The reversal of 9889565660 is 665659889.

It is a junction number, because it is equal to n+sod(n) for n = 9889565593 and 9889565602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842552 + ... + 854208.

It is an arithmetic number, because the mean of its divisors is an integer number (313611858).

Almost surely, 29889565660 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 9889565660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11290026888).

9889565660 is an abundant number, since it is smaller than the sum of its proper divisors (12690488116).

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

9889565660 is a wasteful number, since it uses less digits than its factorization.

9889565660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11943 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 62.

The square root of 9889565660 is about 99446.2953558352. The cubic root of 9889565660 is about 2146.4745294493.

The spelling of 9889565660 in words is "nine billion, eight hundred eighty-nine million, five hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 251 260 338 502 676 845 1004 1255 1690 2510 3263 3380 5020 6526 11657 13052 16315 23314 32630 42419 46628 58285 65260 84838 116570 151541 169676 212095 233140 303082 424190 606164 757705 848380 1515410 1970033 2925907 3030820 3940066 5851814 7880132 9850165 11703628 14629535 19700330 29259070 38036791 39400660 58518140 76073582 152147164 190183955 380367910 494478283 760735820 988956566 1977913132 2472391415 4944782830 9889565660