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20472238080 = 21234574143
BaseRepresentation
bin10011000100001111…
…011001000000000000
31221211202010110010000
4103010033121000000
5313411343104310
613223235040000
71323215103210
oct230417310000
957752113100
1020472238080
118756054528
123b74140000
131c1348c658
14dc2cd2240
157ec44d4c0
hex4c43d9000

20472238080 has 1040 divisors, whose sum is σ = 87915510144. Its totient is φ = 4459069440.

The previous prime is 20472238067. The next prime is 20472238081. The reversal of 20472238080 is 8083227402.

20472238080 is a `hidden beast` number, since 204 + 72 + 2 + 380 + 8 + 0 = 666.

It is a super-2 number, since 2×204722380802 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20472238081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 476098539 + ... + 476098581.

Almost surely, 220472238080 is an apocalyptic number.

20472238080 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 20472238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43957755072).

20472238080 is an abundant number, since it is smaller than the sum of its proper divisors (67443272064).

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

20472238080 is an equidigital number, since it uses as much as digits as its factorization.

20472238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

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

The spelling of 20472238080 in words is "twenty billion, four hundred seventy-two million, two hundred thirty-eight thousand, eighty".