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20065885728 = 253726596473
BaseRepresentation
bin10010101100000001…
…010001111000100000
31220210102111121110220
4102230001101320200
5312043331320403
613115041323040
71310152133400
oct225401217040
956712447426
1020065885728
11856773aa39
123a80036480
131b7a235885
14d84d56800
157c6932953
hex4ac051e20

20065885728 has 144 divisors (see below), whose sum is σ = 61375073760. Its totient is φ = 5723526144.

The previous prime is 20065885717. The next prime is 20065885729. The reversal of 20065885728 is 82758856002.

It is not an unprimeable number, because it can be changed into a prime (20065885729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3096700 + ... + 3103172.

It is an arithmetic number, because the mean of its divisors is an integer number (426215790).

Almost surely, 220065885728 is an apocalyptic number.

20065885728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20065885728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30687536880).

20065885728 is an abundant number, since it is smaller than the sum of its proper divisors (41309188032).

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

20065885728 is a wasteful number, since it uses less digits than its factorization.

20065885728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 20065885728 in words is "twenty billion, sixty-five million, eight hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 659 672 784 1176 1318 1568 1977 2352 2636 3954 4613 4704 5272 6473 7908 9226 10544 12946 13839 15816 18452 19419 21088 25892 27678 31632 32291 36904 38838 45311 51784 55356 63264 64582 73808 77676 90622 96873 103568 110712 129164 135933 147616 155352 181244 193746 207136 221424 258328 271866 310704 317177 362488 387492 442848 516656 543732 621408 634354 724976 774984 951531 1033312 1087464 1268708 1449952 1549968 1903062 2174928 2537416 3099936 3806124 4265707 4349856 5074832 7612248 8531414 10149664 12797121 15224496 17062828 25594242 29859949 30448992 34125656 51188484 59719898 68251312 89579847 102376968 119439796 136502624 179159694 204753936 209019643 238879592 358319388 409507872 418039286 477759184 627058929 716638776 836078572 955518368 1254117858 1433277552 1672157144 2508235716 2866555104 3344314288 5016471432 6688628576 10032942864 20065885728