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20785408581 = 3717231110479
BaseRepresentation
bin10011010110111010…
…000010101001000101
31222122120102011021110
4103112322002221011
5320032031033311
613314303235233
71334040025560
oct232672025105
958576364243
1020785408581
1188a6904123
124040ba8b19
131c6331c142
1410127334d7
15819bae8a6
hex4d6e82a45

20785408581 has 48 divisors (see below), whose sum is σ = 34731376640. Its totient is φ = 10818005760.

The previous prime is 20785408561. The next prime is 20785408619. The reversal of 20785408581 is 18580458702.

It is not a de Polignac number, because 20785408581 - 26 = 20785408517 is a prime.

It is a super-3 number, since 3×207854085813 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20785408581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20785408561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132900 + ... + 243378.

Almost surely, 220785408581 is an apocalyptic number.

20785408581 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20785408581 is a deficient number, since it is larger than the sum of its proper divisors (13945968059).

20785408581 is a wasteful number, since it uses less digits than its factorization.

20785408581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110554 (or 110537 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 20785408581 in words is "twenty billion, seven hundred eighty-five million, four hundred eight thousand, five hundred eighty-one".

Divisors: 1 3 7 17 21 31 51 93 119 217 289 357 527 651 867 1581 2023 3689 6069 8959 11067 26877 62713 110479 188139 331437 773353 1878143 2320059 3424849 5634429 10274547 13147001 23973943 31928431 39441003 58222433 71921829 95785293 174667299 223499017 407557031 670497051 989781361 1222671093 2969344083 6928469527 20785408581