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9969364145916 = 2233743306674177
BaseRepresentation
bin1001000100010010110001…
…1010001001011011111100
31022022001200010110121122000
42101010230122021123330
52301314224210132131
633111510200222300
72046156065026410
oct221045432113374
938261603417560
109969364145916
1131a3a9018344a
121150167a6a990
13574151123106
1426673c486d40
151244d55b7ce6
hex9112c6896fc

9969364145916 has 96 divisors (see below), whose sum is σ = 30225806983680. Its totient is φ = 2782148124672.

The previous prime is 9969364145891. The next prime is 9969364145921. The reversal of 9969364145916 is 6195414639699.

9969364145916 is a `hidden beast` number, since 9 + 96 + 9 + 36 + 41 + 459 + 16 = 666.

It is a super-2 number, since 2×99693641459162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153304581 + ... + 153369596.

It is an arithmetic number, because the mean of its divisors is an integer number (314852156080).

Almost surely, 29969364145916 is an apocalyptic number.

It is an amenable number.

9969364145916 is an abundant number, since it is smaller than the sum of its proper divisors (20256442837764).

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

9969364145916 is a wasteful number, since it uses less digits than its factorization.

9969364145916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306674240 (or 306674232 counting only the distinct ones).

The product of its digits is 340122240, while the sum is 72.

The spelling of 9969364145916 in words is "nine trillion, nine hundred sixty-nine billion, three hundred sixty-four million, one hundred forty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3612 4644 5418 8127 10836 16254 32508 306674177 613348354 920022531 1226696708 1840045062 2146719239 2760067593 3680090124 4293438478 5520135186 6440157717 8280202779 8586876956 11040270372 12880315434 13186989611 16560405558 19320473151 25760630868 26373979222 33120811116 38640946302 39560968833 52747958444 57961419453 77281892604 79121937666 92308927277 115922838906 118682906499 158243875332 184617854554 231845677812 237365812998 276926781831 356048719497 369235709108 474731625996 553853563662 712097438994 830780345493 1107707127324 1424194877988 1661560690986 2492341036479 3323121381972 4984682072958 9969364145916