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9969643938816 = 2103540065763
BaseRepresentation
bin1001000100010011110100…
…0101011110010000000000
31022022002101121221120100000
42101010331011132100000
52301320312322020231
633111554033200000
72046166033155222
oct221047505362000
938262347846300
109969643938816
1131a4114105a51
121150225700000
13574197097443
142667676ba412
151244eee346e6
hex9113d15e400

9969643938816 has 132 divisors (see below), whose sum is σ = 29853321282512. Its totient is φ = 3323214563328.

The previous prime is 9969643938797. The next prime is 9969643938841. The reversal of 9969643938816 is 6188393469699.

9969643938816 is a `hidden beast` number, since 9 + 9 + 6 + 96 + 439 + 3 + 88 + 16 = 666.

It is a super-3 number, since 3×99696439388163 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19784050 + ... + 20281713.

Almost surely, 29969643938816 is an apocalyptic number.

9969643938816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9969643938816 is an abundant number, since it is smaller than the sum of its proper divisors (19883677343696).

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

9969643938816 is an equidigital number, since it uses as much as digits as its factorization.

9969643938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40065798 (or 40065768 counting only the distinct ones).

The product of its digits is 3265173504, while the sum is 81.

The spelling of 9969643938816 in words is "nine trillion, nine hundred sixty-nine billion, six hundred forty-three million, nine hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 62208 82944 124416 248832 40065763 80131526 120197289 160263052 240394578 320526104 360591867 480789156 641052208 721183734 961578312 1081775601 1282104416 1442367468 1923156624 2163551202 2564208832 2884734936 3245326803 3846313248 4327102404 5128417664 5769469872 6490653606 7692626496 8654204808 9735980409 10256835328 11538939744 12981307212 15385252992 17308409616 19471960818 20513670656 23077879488 25962614424 30770505984 34616819232 38943921636 41027341312 46155758976 51925228848 61541011968 69233638464 77887843272 92311517952 103850457696 123082023936 138467276928 155775686544 184623035904 207700915392 276934553856 311551373088 369246071808 415401830784 553869107712 623102746176 830803661568 1107738215424 1246205492352 1661607323136 2492410984704 3323214646272 4984821969408 9969643938816