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20880583137 = 34257784977
BaseRepresentation
bin10011011100100101…
…000110100111100001
31222220012111112020000
4103130211012213201
5320230412130022
613331543210213
71336304012451
oct233445064741
958805445200
1020880583137
1189455aa187
124068a46969
131c79c6344b
141021229d61
1582320e6ac
hex4dc9469e1

20880583137 has 10 divisors (see below), whose sum is σ = 31191982338. Its totient is φ = 13920388704.

The previous prime is 20880583133. The next prime is 20880583181. The reversal of 20880583137 is 73138508802.

20880583137 is a `hidden beast` number, since 208 + 80 + 58 + 313 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20738592081 + 141991056 = 144009^2 + 11916^2 .

It is not a de Polignac number, because 20880583137 - 22 = 20880583133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20880583092 and 20880583101.

It is not an unprimeable number, because it can be changed into a prime (20880583133) 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 9 ways as a sum of consecutive naturals, for example, 128892408 + ... + 128892569.

Almost surely, 220880583137 is an apocalyptic number.

20880583137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20880583137 is a deficient number, since it is larger than the sum of its proper divisors (10311399201).

20880583137 is an equidigital number, since it uses as much as digits as its factorization.

20880583137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257784989 (or 257784980 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20880583137 in words is "twenty billion, eight hundred eighty million, five hundred eighty-three thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 81 257784977 773354931 2320064793 6960194379 20880583137