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20469481920 = 263355344701
BaseRepresentation
bin10011000100000100…
…111000000111000000
31221211112221102101000
4103010010320013000
5313410141410140
613223100012000
71323152503566
oct230404700700
957745842330
1020469481920
118754541808
123b73231000
131c12a35ca4
14dc27b5a36
157ec0a6a30
hex4c41381c0

20469481920 has 224 divisors, whose sum is σ = 73575915840. Its totient is φ = 5355417600.

The previous prime is 20469481859. The next prime is 20469481943. The reversal of 20469481920 is 2918496402.

20469481920 is a `hidden beast` number, since 20 + 4 + 69 + 481 + 92 + 0 = 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435570 + ... + 480270.

It is an arithmetic number, because the mean of its divisors is an integer number (328463910).

Almost surely, 220469481920 is an apocalyptic number.

20469481920 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 20469481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787957920).

20469481920 is an abundant number, since it is smaller than the sum of its proper divisors (53106433920).

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

20469481920 is a wasteful number, since it uses less digits than its factorization.

20469481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44780 (or 44764 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 20469481 and 920, that added together give a triangular number (20470401 = T6398).

The spelling of 20469481920 in words is "twenty billion, four hundred sixty-nine million, four hundred eighty-one thousand, nine hundred twenty".