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20585081280 = 263531253421
BaseRepresentation
bin10011001010111101…
…110110100111000000
31222010121110110212210
4103022331312213000
5314124240100110
613242345422120
71326055206141
oct231275664700
958117413783
1020585081280
118803818275
123ba5a9a940
131c3097bb8a
14dd3ca7ac8
158072dd520
hex4caf769c0

20585081280 has 336 divisors, whose sum is σ = 68971619232. Its totient is φ = 5199667200.

The previous prime is 20585081267. The next prime is 20585081287. The reversal of 20585081280 is 8218058502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20585081287) 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, 48895470 + ... + 48895890.

Almost surely, 220585081280 is an apocalyptic number.

20585081280 is a gapful number since it is divisible by the number (20) 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 20585081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34485809616).

20585081280 is an abundant number, since it is smaller than the sum of its proper divisors (48386537952).

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

20585081280 is a wasteful number, since it uses less digits than its factorization.

20585081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The spelling of 20585081280 in words is "twenty billion, five hundred eighty-five million, eighty-one thousand, two hundred eighty".