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20047083840 = 2632572142057
BaseRepresentation
bin10010101010111001…
…100011100101000000
31220202010010101010200
4102222321203211000
5312024023140330
613113130325200
71306533254400
oct225271434500
956663111120
1020047083840
118558068893
123a75889800
131b763818b4
14d82660800
157c4e6ba60
hex4aae63940

20047083840 has 252 divisors, whose sum is σ = 80211913236. Its totient is φ = 4582158336.

The previous prime is 20047083839. The next prime is 20047083841. The reversal of 20047083840 is 4838074002.

20047083840 is a `hidden beast` number, since 200 + 4 + 70 + 8 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20047083839) and next prime (20047083841).

It can be written as a sum of positive squares in 2 ways, for example, as 2118945024 + 17928138816 = 46032^2 + 133896^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20047083795 and 20047083804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20047083841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70092 + ... + 212148.

It is an arithmetic number, because the mean of its divisors is an integer number (318301243).

Almost surely, 220047083840 is an apocalyptic number.

20047083840 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 20047083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40105956618).

20047083840 is an abundant number, since it is smaller than the sum of its proper divisors (60164829396).

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

20047083840 is a wasteful number, since it uses less digits than its factorization.

20047083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142094 (or 142074 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20047083840 in words is "twenty billion, forty-seven million, eighty-three thousand, eight hundred forty".