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20982959280 = 2434529111659
BaseRepresentation
bin10011100010101011…
…101000110010110000
32000011100010202220000
4103202223220302300
5320433114144110
613350041350000
71341656132253
oct234253506260
960140122800
1020982959280
118998373968
124097198300
131c9522964a
141030a7909a
1582c1d31c0
hex4e2ae8cb0

20982959280 has 200 divisors, whose sum is σ = 75390598800. Its totient is φ = 5402460672.

The previous prime is 20982959269. The next prime is 20982959303. The reversal of 20982959280 is 8295928902.

20982959280 is a `hidden beast` number, since 20 + 9 + 8 + 29 + 592 + 8 + 0 = 666.

It is a super-2 number, since 2×209829592802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132091 + ... + 243749.

It is an arithmetic number, because the mean of its divisors is an integer number (376952994).

Almost surely, 220982959280 is an apocalyptic number.

20982959280 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 20982959280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37695299400).

20982959280 is an abundant number, since it is smaller than the sum of its proper divisors (54407639520).

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

20982959280 is a wasteful number, since it uses less digits than its factorization.

20982959280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111713 (or 111698 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 20982959280 in words is "twenty billion, nine hundred eighty-two million, nine hundred fifty-nine thousand, two hundred eighty".