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20281044420 = 2232571322341101
BaseRepresentation
bin10010111000110110…
…000010110111000100
31221100102100210201100
4102320312002313010
5313013421410140
613152245100100
71315404014250
oct227066026704
957312323640
1020281044420
11866813693a
123b200b7630
131bb2999800
14da5763260
157da783530
hex4b8d82dc4

20281044420 has 864 divisors, whose sum is σ = 82185352704. Its totient is φ = 3953664000.

The previous prime is 20281044337. The next prime is 20281044431. The reversal of 20281044420 is 2444018202.

20281044420 is a `hidden beast` number, since 202 + 8 + 10 + 4 + 442 + 0 = 666.

It is a super-2 number, since 2×202810444202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 200802370 + ... + 200802470.

It is an arithmetic number, because the mean of its divisors is an integer number (95121936).

Almost surely, 220281044420 is an apocalyptic number.

20281044420 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 20281044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41092676352).

20281044420 is an abundant number, since it is smaller than the sum of its proper divisors (61904308284).

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

20281044420 is a wasteful number, since it uses less digits than its factorization.

20281044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 20281044420 in words is "twenty billion, two hundred eighty-one million, forty-four thousand, four hundred twenty".