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20444800712 = 23717294211759
BaseRepresentation
bin10011000010100110…
…101110011011001000
31221202211111111010012
4103002212232123020
5313332332110322
613220415011052
71322432636660
oct230246563310
957684444105
1020444800712
118741614416
123b66b09a88
131c0a8a3c1b
14dbd3cd1a0
157e9d2dae2
hex4c29ae6c8

20444800712 has 128 divisors (see below), whose sum is σ = 48128256000. Its totient is φ = 7938846720.

The previous prime is 20444800703. The next prime is 20444800723. The reversal of 20444800712 is 21700844402.

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, 11622089 + ... + 11623847.

It is an arithmetic number, because the mean of its divisors is an integer number (376002000).

Almost surely, 220444800712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20444800712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064128000).

20444800712 is an abundant number, since it is smaller than the sum of its proper divisors (27683455288).

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

20444800712 is a wasteful number, since it uses less digits than its factorization.

20444800712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 20444800712 in words is "twenty billion, four hundred forty-four million, eight hundred thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 421 476 493 812 842 952 986 1624 1684 1759 1972 2947 3368 3451 3518 3944 5894 6902 7036 7157 11788 12209 12313 13804 14072 14314 23576 24418 24626 27608 28628 29903 48836 49252 50099 51011 57256 59806 85463 97672 98504 100198 102022 119612 170926 200396 204044 207553 209321 239224 341852 357077 400792 408088 415106 418642 683704 714154 740539 830212 837284 867187 1428308 1452871 1481078 1660424 1674568 1734374 2856616 2905742 2962156 3468748 5183773 5811484 5924312 6070309 6937496 10367546 11622968 12140618 12589163 20735092 21475631 24281236 25178326 41470184 42951262 48562472 50356652 85902524 88124141 100713304 150329417 171805048 176248282 300658834 352496564 365085727 601317668 704993128 730171454 1202635336 1460342908 2555600089 2920685816 5111200178 10222400356 20444800712