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20286869568 = 263726956113
BaseRepresentation
bin10010111001001100…
…010001000001000000
31221100211022202022120
4102321030101001000
5313021414311233
613153014004240
71315504355220
oct227114210100
957324282276
1020286869568
118670455409
123b22046680
131bb3c59044
14da643c080
157db0344b3
hex4b9311040

20286869568 has 112 divisors (see below), whose sum is σ = 61572769920. Its totient is φ = 5774598144.

The previous prime is 20286869567. The next prime is 20286869591. The reversal of 20286869568 is 86596868202.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (20286869567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333480 + ... + 389592.

Almost surely, 220286869568 is an apocalyptic number.

20286869568 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 20286869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30786384960).

20286869568 is an abundant number, since it is smaller than the sum of its proper divisors (41285900352).

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

20286869568 is a wasteful number, since it uses less digits than its factorization.

20286869568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56404 (or 56394 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 20286869568 in words is "twenty billion, two hundred eighty-six million, eight hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 269 336 448 538 672 807 1076 1344 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 17216 22596 25824 30128 45192 51648 56113 60256 90384 112226 120512 168339 180768 224452 336678 361536 392791 448904 673356 785582 897808 1178373 1346712 1571164 1795616 2356746 2693424 3142328 3591232 4713492 5386848 6284656 9426984 10773696 12569312 15094397 18853968 25138624 30188794 37707936 45283191 60377588 75415872 90566382 105660779 120755176 181132764 211321558 241510352 316982337 362265528 422643116 483020704 633964674 724531056 845286232 966041408 1267929348 1449062112 1690572464 2535858696 2898124224 3381144928 5071717392 6762289856 10143434784 20286869568