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20733982503969 = 373192774638269
BaseRepresentation
bin1001011011011100000011…
…01010010111010000100001
32201102011000220000222011210
410231232001222113100201
510204201144010111334
6112033020550300333
74236660262251000
oct455560152272041
981364026028153
1020733982503969
116674261653959
1223aa4749576a9
13b7528ac1c997
1451975c888c37
1525e5124d35e9
hex12db81a97421

20733982503969 has 128 divisors (see below), whose sum is σ = 34136442880000. Its totient is φ = 11158385382144.

The previous prime is 20733982503937. The next prime is 20733982503977. The reversal of 20733982503969 is 96930528933702.

It is not a de Polignac number, because 20733982503969 - 25 = 20733982503937 is a prime.

It is a super-2 number, since 2×207339825039692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20733982503919) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2507431167 + ... + 2507439435.

It is an arithmetic number, because the mean of its divisors is an integer number (266690960000).

Almost surely, 220733982503969 is an apocalyptic number.

It is an amenable number.

20733982503969 is a deficient number, since it is larger than the sum of its proper divisors (13402460376031).

20733982503969 is a wasteful number, since it uses less digits than its factorization.

20733982503969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 66.

The spelling of 20733982503969 in words is "twenty trillion, seven hundred thirty-three billion, nine hundred eighty-two million, five hundred three thousand, nine hundred sixty-nine".

Divisors: 1 3 7 19 21 49 57 133 147 277 343 399 463 831 931 1029 1389 1939 2793 3241 5263 5817 6517 8269 8797 9723 13573 15789 19551 22687 24807 26391 36841 40719 57883 61579 68061 95011 110523 128251 157111 158809 173649 184737 257887 285033 384753 405181 431053 471333 476427 773661 897757 1099777 1215543 1293159 1805209 2290513 2436769 2693271 2836267 3017371 3299331 3828547 5415627 6284299 6871539 7310307 7698439 8508801 9052113 11485641 16033591 17057383 18852897 23095317 26799829 43519747 43990093 48100773 51172149 53889073 72742393 80399487 112235137 119401681 130559241 131970279 161667219 187598803 218227179 304638229 336705411 358205043 509196751 562796409 785645959 835811767 913914687 1060507519 1313191621 1527590253 2132467603 2356937877 2507435301 3181522557 3564377257 3939574863 6397402809 7423552633 10693131771 14927273221 20149642861 22270657899 24950640799 44781819663 51964868431 60448928583 74851922397 141047500027 155894605293 363754079017 423142500081 987332500189 1091262237051 2961997500567 6911327501323 20733982503969