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9665149068 = 22377431487
BaseRepresentation
bin10010000000001011…
…00111100010001100
3220221120200110000000
421000011213202030
5124243234232233
64235021404300
7461340261111
oct110005474214
926846613000
109665149068
11410a7a7603
121a58a09690
13bb0509723
146798ba908
153b87b7d13
hex24016788c

9665149068 has 96 divisors (see below), whose sum is σ = 25418373120. Its totient is φ = 3215216592.

The previous prime is 9665149051. The next prime is 9665149069. The reversal of 9665149068 is 8609415669.

It is a happy number.

9665149068 is a `hidden beast` number, since 9 + 66 + 514 + 9 + 0 + 68 = 666.

It is a super-2 number, since 2×96651490682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9665149069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6499021 + ... + 6500507.

It is an arithmetic number, because the mean of its divisors is an integer number (264774720).

Almost surely, 29665149068 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 9665149068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709186560).

9665149068 is an abundant number, since it is smaller than the sum of its proper divisors (15753224052).

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

9665149068 is a wasteful number, since it uses less digits than its factorization.

9665149068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9665149068 is about 98311.4900100695. The cubic root of 9665149068 is about 2130.1140268256.

The spelling of 9665149068 in words is "nine billion, six hundred sixty-five million, one hundred forty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 743 972 1458 1486 1487 2187 2229 2916 2972 2974 4374 4458 4461 5948 6687 8748 8916 8922 13374 13383 17844 20061 26748 26766 40122 40149 53532 60183 80244 80298 120366 120447 160596 180549 240732 240894 361098 361341 481788 541647 722196 722682 1083294 1084023 1104841 1445364 1624941 2166588 2168046 2209682 3249882 3252069 3314523 4336092 4419364 6499764 6504138 6629046 9943569 13008276 13258092 19887138 29830707 39774276 59661414 89492121 119322828 178984242 268476363 357968484 536952726 805429089 1073905452 1610858178 2416287267 3221716356 4832574534 9665149068