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20286580860 = 223257132472027
BaseRepresentation
bin10010111001001011…
…001010100001111100
31221100210210002021200
4102321023022201330
5313021331041420
613153003455500
71315502043420
oct227113124174
957323702250
1020286580860
118670278507
123b21b27590
131bb3b87800
14da63a4b80
157daec8b90
hex4b92ca87c

20286580860 has 432 divisors, whose sum is σ = 77811342336. Its totient is φ = 4187109888.

The previous prime is 20286580849. The next prime is 20286580883. The reversal of 20286580860 is 6808568202.

20286580860 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 6 + 580 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 10007167 + ... + 10009193.

It is an arithmetic number, because the mean of its divisors is an integer number (180118848).

Almost surely, 220286580860 is an apocalyptic number.

20286580860 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 20286580860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905671168).

20286580860 is an abundant number, since it is smaller than the sum of its proper divisors (57524761476).

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

20286580860 is a wasteful number, since it uses less digits than its factorization.

20286580860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20286580860 in words is "twenty billion, two hundred eighty-six million, five hundred eighty thousand, eight hundred sixty".