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20643500656 = 24173141211283
BaseRepresentation
bin10011001110011100…
…101101001001110000
31222021200101111012101
4103032130231021300
5314234214010111
613252233510144
71330364601052
oct231634551160
958250344171
1020643500656
118833799649
124001572354
131c3cac455c
14ddb9538d2
1580c4ccbc1
hex4ce72d270

20643500656 has 160 divisors (see below), whose sum is σ = 45153110016. Its totient is φ = 9096192000.

The previous prime is 20643500653. The next prime is 20643500659. The reversal of 20643500656 is 65600534602.

It is an interprime number because it is at equal distance from previous prime (20643500653) and next prime (20643500659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20643500653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72945091 + ... + 72945373.

Almost surely, 220643500656 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 20643500656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22576555008).

20643500656 is an abundant number, since it is smaller than the sum of its proper divisors (24509609360).

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

20643500656 is a wasteful number, since it uses less digits than its factorization.

20643500656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 20643500656 in words is "twenty billion, six hundred forty-three million, five hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 34 41 62 68 82 124 136 164 211 248 272 283 328 422 496 527 566 656 697 844 1054 1132 1271 1394 1688 2108 2264 2542 2788 3376 3587 4216 4528 4811 5084 5576 6541 7174 8432 8651 8773 9622 10168 11152 11603 13082 14348 17302 17546 19244 20336 21607 23206 26164 28696 34604 35092 38488 43214 46412 52328 57392 59713 69208 70184 76976 86428 92824 104656 111197 119426 138416 140368 147067 149141 172856 185648 197251 222394 238852 268181 294134 298282 345712 359693 394502 444788 477704 536362 588268 596564 719386 789004 889576 955408 1015121 1072724 1176536 1193128 1438772 1578008 1779152 1851103 2030242 2145448 2353072 2386256 2448233 2877544 3156016 3702206 4060484 4290896 4559077 4896466 5755088 6114781 7404412 8120968 9118154 9792932 12229562 14808824 16241936 18236308 19585864 24459124 29617648 31468751 36472616 39171728 41619961 48918248 62937502 72945232 75895223 83239922 97836496 125875004 151790446 166479844 251750008 303580892 332959688 503500016 607161784 665919376 1214323568 1290218791 2580437582 5160875164 10321750328 20643500656