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9981764352 = 28337206303
BaseRepresentation
bin10010100101111010…
…11010001100000000
3221202122110011112000
421102331122030000
5130420312424402
64330251504000
7502233411540
oct112275321400
927678404460
109981764352
11426249a32a
121b26a58000
13c30ca4151
146a9977320
153d64a9c1c
hex252f5a300

9981764352 has 144 divisors (see below), whose sum is σ = 33734830080. Its totient is φ = 2851918848.

The previous prime is 9981764329. The next prime is 9981764371. The reversal of 9981764352 is 2534671899.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54768 + ... + 151535.

Almost surely, 29981764352 is an apocalyptic number.

It is an amenable number.

9981764352 is an abundant number, since it is smaller than the sum of its proper divisors (23753065728).

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

9981764352 is a wasteful number, since it uses less digits than its factorization.

9981764352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206335 (or 206315 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 9981764352 is about 99908.7801546991. The cubic root of 9981764352 is about 2153.1243094326.

The spelling of 9981764352 in words is "nine billion, nine hundred eighty-one million, seven hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 206303 412606 618909 825212 1237818 1444121 1650424 1856727 2475636 2888242 3300848 3713454 4332363 4951272 5570181 5776484 6601696 7426908 8664726 9902544 11140362 11552968 12997089 13203392 14853816 17329452 19805088 22280724 23105936 25994178 26406784 29707632 34658904 38991267 39610176 44561448 46211872 51988356 52813568 59415264 69317808 77982534 79220352 89122896 92423744 103976712 118830528 138635616 155965068 158440704 178245792 184847488 207953424 237661056 277271232 311930136 356491584 369694976 415906848 475322112 554542464 623860272 712983168 831813696 1109084928 1247720544 1425966336 1663627392 2495441088 3327254784 4990882176 9981764352