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9930310866 = 2327432238219
BaseRepresentation
bin10010011111110010…
…01000010011010010
3221122001122001121100
421033321020103102
5130314124421431
64321213005230
7501040151430
oct111771102322
927561561540
109930310866
114236446593
121b11783816
13c2342a2b8
146a2bc1d50
153d1be44e6
hex24fe484d2

9930310866 has 96 divisors (see below), whose sum is σ = 25277091840. Its totient is φ = 2758486752.

The previous prime is 9930310799. The next prime is 9930310867. The reversal of 9930310866 is 6680130399.

It is a super-2 number, since 2×99303108662 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9930310867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204105 + ... + 1212323.

It is an arithmetic number, because the mean of its divisors is an integer number (263303040).

Almost surely, 29930310866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9930310866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638545920).

9930310866 is an abundant number, since it is smaller than the sum of its proper divisors (15346780974).

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

9930310866 is a wasteful number, since it uses less digits than its factorization.

9930310866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9930310866 is about 99650.9451335009. The cubic root of 9930310866 is about 2149.4183294682.

The spelling of 9930310866 in words is "nine billion, nine hundred thirty million, three hundred ten thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 223 258 301 387 446 602 669 774 903 1338 1561 1806 2007 2709 3122 4014 4683 5418 8219 9366 9589 14049 16438 19178 24657 28098 28767 49314 57533 57534 67123 73971 86301 115066 134246 147942 172599 172602 201369 345198 353417 402738 517797 604107 706834 1035594 1060251 1208214 1832837 2120502 2473919 3180753 3665674 4947838 5498511 6361506 7421757 10997022 12829859 14843514 16495533 22265271 25659718 32991066 38489577 44530542 76979154 78811991 115468731 157623982 230937462 236435973 472871946 551683937 709307919 1103367874 1418615838 1655051811 3310103622 4965155433 9930310866