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20300882688 = 28332937049
BaseRepresentation
bin10010111010000001…
…101110001100000000
31221101210200200201000
4102322001232030000
5313034011221223
613154234212000
71316034440622
oct227201561400
957353620630
1020300882688
1186783566a9
123b26884000
131bb6b24428
14da8248c12
157dc3a1543
hex4ba06e300

20300882688 has 72 divisors (see below), whose sum is σ = 60033302000. Its totient is φ = 6766958592.

The previous prime is 20300882681. The next prime is 20300882689. The reversal of 20300882688 is 88628800302.

20300882688 is a `hidden beast` number, since 2 + 0 + 300 + 88 + 268 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20300882681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1461613 + ... + 1475436.

Almost surely, 220300882688 is an apocalyptic number.

It is an amenable number.

20300882688 is an abundant number, since it is smaller than the sum of its proper divisors (39732419312).

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

20300882688 is an equidigital number, since it uses as much as digits as its factorization.

20300882688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937074 (or 2937054 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20300882688 in words is "twenty billion, three hundred million, eight hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 2937049 5874098 8811147 11748196 17622294 23496392 26433441 35244588 46992784 52866882 70489176 79300323 93985568 105733764 140978352 158600646 187971136 211467528 281956704 317201292 375942272 422935056 563913408 634402584 751884544 845870112 1127826816 1268805168 1691740224 2255653632 2537610336 3383480448 5075220672 6766960896 10150441344 20300882688