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20107420632 = 233213315771201
BaseRepresentation
bin10010101110011111…
…101110001111011000
31220220022122210122200
4102232133232033120
5312134444430012
613123123450200
71311165153405
oct225637561730
956808583580
1020107420632
118589129802
123a91b26960
131b85a18c40
14d8a6892ac
157ca3d93dc
hex4ae7ee3d8

20107420632 has 192 divisors, whose sum is σ = 60693884160. Its totient is φ = 5971968000.

The previous prime is 20107420609. The next prime is 20107420639. The reversal of 20107420632 is 23602470102.

20107420632 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 7 + 4 + 20 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20107420596 and 20107420605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20107420639) 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, 16741632 + ... + 16742832.

It is an arithmetic number, because the mean of its divisors is an integer number (316113980).

Almost surely, 220107420632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20107420632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30346942080).

20107420632 is an abundant number, since it is smaller than the sum of its proper divisors (40586463528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20107420632 is a wasteful number, since it uses less digits than its factorization.

20107420632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 20107420632 its reverse (23602470102), we get a palindrome (43709890734).

The spelling of 20107420632 in words is "twenty billion, one hundred seven million, four hundred twenty thousand, six hundred thirty-two".