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20483218560 = 273572324367
BaseRepresentation
bin10011000100111001…
…010001110010000000
31221212111210022111110
4103010321101302000
5313422200443220
613224310243320
71323410325240
oct230471216200
957774708443
1020483218560
118761274302
123b77956540
131c1583558c
14dc454db20
157ed3bbbe0
hex4c4e51c80

20483218560 has 768 divisors, whose sum is σ = 81008040960. Its totient is φ = 4308885504.

The previous prime is 20483218531. The next prime is 20483218579. The reversal of 20483218560 is 6581238402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305719647 + ... + 305719713.

It is an arithmetic number, because the mean of its divisors is an integer number (105479220).

Almost surely, 220483218560 is an apocalyptic number.

20483218560 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 20483218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40504020480).

20483218560 is an abundant number, since it is smaller than the sum of its proper divisors (60524822400).

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

20483218560 is a wasteful number, since it uses less digits than its factorization.

20483218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 20483218560 in words is "twenty billion, four hundred eighty-three million, two hundred eighteen thousand, five hundred sixty".