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20469093120 = 283357211401
BaseRepresentation
bin10011000100000011…
…011001001100000000
31221211112012200001000
4103010003121030000
5313410041434440
613223043412000
71323146264220
oct230403311400
957745180030
1020469093120
1187542a6693
123b73084000
131c1292b028
14dc2714080
157ec02b730
hex4c40d9300

20469093120 has 576 divisors, whose sum is σ = 83614970880. Its totient is φ = 4644864000.

The previous prime is 20469093119. The next prime is 20469093149. The reversal of 20469093120 is 2139096402.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 51044920 + ... + 51045320.

It is an arithmetic number, because the mean of its divisors is an integer number (145164880).

Almost surely, 220469093120 is an apocalyptic number.

20469093120 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 20469093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41807485440).

20469093120 is an abundant number, since it is smaller than the sum of its proper divisors (63145877760).

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

20469093120 is a wasteful number, since it uses less digits than its factorization.

20469093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 20469093120 in words is "twenty billion, four hundred sixty-nine million, ninety-three thousand, one hundred twenty".