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20589407608 = 237211171914783
BaseRepresentation
bin10011001011001110…
…010110110101111000
31222010220121021111011
4103023032112311320
5314131342020413
613243022243304
71326140035300
oct231316266570
958126537434
1020589407608
118806202750
123ba7426534
131c31835133
14dd46b2600
1580789533d
hex4cb396d78

20589407608 has 192 divisors, whose sum is σ = 54606182400. Its totient is φ = 7152122880.

The previous prime is 20589407603. The next prime is 20589407687. The reversal of 20589407608 is 80670498502.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20589407603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385385 + ... + 1400167.

It is an arithmetic number, because the mean of its divisors is an integer number (284407200).

Almost surely, 220589407608 is an apocalyptic number.

20589407608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20589407608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27303091200).

20589407608 is an abundant number, since it is smaller than the sum of its proper divisors (34016774792).

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

20589407608 is a wasteful number, since it uses less digits than its factorization.

20589407608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14850 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 20589407608 in words is "twenty billion, five hundred eighty-nine million, four hundred seven thousand, six hundred eight".