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9768866328 = 233513386549
BaseRepresentation
bin10010001100100010…
…10001001000011000
3221012210211211100000
421012101101020120
5130001312210303
64253204413000
7464036664564
oct110621211030
927183754300
109768866328
1141632a7951
121a876a7160
13bc8b521a0
146895986a4
153c2953da3
hex246451218

9768866328 has 96 divisors (see below), whose sum is σ = 29547882000. Its totient is φ = 3005797248.

The previous prime is 9768866323. The next prime is 9768866339. The reversal of 9768866328 is 8236688679.

It is a super-3 number, since 3×97688663283 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768866323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168003 + ... + 218546.

Almost surely, 29768866328 is an apocalyptic number.

It is an amenable number.

9768866328 is an abundant number, since it is smaller than the sum of its proper divisors (19779015672).

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

9768866328 is a wasteful number, since it uses less digits than its factorization.

9768866328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386583 (or 386567 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 9768866328 is about 98837.5754862492. The cubic root of 9768866328 is about 2137.7063911511.

It can be divided in two parts, 9768 and 866328, that added together give a square (876096 = 9362).

The spelling of 9768866328 in words is "nine billion, seven hundred sixty-eight million, eight hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 386549 773098 1159647 1546196 2319294 3092392 3478941 4638588 5025137 6957882 9277176 10050274 10436823 13915764 15075411 20100548 20873646 27831528 30150822 31310469 40201096 41747292 45226233 60301644 62620938 83494584 90452466 93931407 120603288 125241876 135678699 180904932 187862814 250483752 271357398 361809864 375725628 407036097 542714796 751451256 814072194 1085429592 1221108291 1628144388 2442216582 3256288776 4884433164 9768866328