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20382163944921 = 3467274872
BaseRepresentation
bin1001010001001100101111…
…01001000100010111011001
32200011111221001100101210000
410220212113221010113121
510132420132432214141
6111203234205443213
74202364010660212
oct450462751042731
980144831311700
1020382163944921
116549033204249
122352249570509
13b4b050663a1c
145067056ac409
152552c09ac5b6
hex128997a445d9

20382163944921 has 45 divisors (see below), whose sum is σ = 30912780881829. Its totient is φ = 13383513889416.

The previous prime is 20382163944889. The next prime is 20382163944931. The reversal of 20382163944921 is 12944936128302.

It is a happy number.

The square root of 20382163944921 is 4514661.

It is a perfect power (a square), and thus also a powerful number.

20382163944921 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 2 + 1 + 63 + 94 + 492 + 1 = 666.

It is not a de Polignac number, because 20382163944921 - 25 = 20382163944889 is a prime.

It is a super-2 number, since 2×203821639449212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20382163944931) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2722336840 + ... + 2722344326.

Almost surely, 220382163944921 is an apocalyptic number.

20382163944921 is the 4514661-st square number.

20382163944921 is the 2257331-st centered octagonal number.

It is an amenable number.

20382163944921 is a deficient number, since it is larger than the sum of its proper divisors (10530616936908).

20382163944921 is an frugal number, since it uses more digits than its factorization.

20382163944921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15120 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 20382163944921 in words is "twenty trillion, three hundred eighty-two billion, one hundred sixty-three million, nine hundred forty-four thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 67 81 201 603 1809 4489 5427 7487 13467 22461 40401 67383 121203 202149 363609 501629 606447 1504887 4514661 13543983 33609143 40631949 56055169 100827429 168165507 302482287 504496521 907446861 1513489563 2722340583 3755696323 4540468689 11267088969 33801266907 101403800721 251631653641 304211402163 754894960923 2264684882769 6794054648307 20382163944921