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20480185881 = 34159012
BaseRepresentation
bin10011000100101101…
…101101011000011001
31221212022002020110000
4103010231231120121
5313420411422011
613224121243213
71323342464511
oct230455553031
957768066400
1020480185881
11875a592861
123b76933509
131c150130ac
14dc3da0841
157ecebd356
hex4c4b6d619

20480185881 has 15 divisors (see below), whose sum is σ = 30595782063. Its totient is φ = 13652598600.

The previous prime is 20480185829. The next prime is 20480185909. The reversal of 20480185881 is 18858108402.

The square root of 20480185881 is 143109.

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

20480185881 is a `hidden beast` number, since 20 + 48 + 0 + 1 + 8 + 588 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20351590281 + 128595600 = 142659^2 + 11340^2 .

It is not a de Polignac number, because 20480185881 - 219 = 20479661593 is a prime.

It is a super-2 number, since 2×204801858812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20480183881) 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 14 ways as a sum of consecutive naturals, for example, 1280031 + ... + 1295931.

Almost surely, 220480185881 is an apocalyptic number.

20480185881 is the 143109-th square number.

20480185881 is the 71555-th centered octagonal number.

It is an amenable number.

20480185881 is a deficient number, since it is larger than the sum of its proper divisors (10115596182).

20480185881 is an frugal number, since it uses more digits than its factorization.

20480185881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31814 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 20480185881 in words is "twenty billion, four hundred eighty million, one hundred eighty-five thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 15901 47703 143109 429327 1287981 252841801 758525403 2275576209 6826728627 20480185881