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20503042560 = 29325721113127
BaseRepresentation
bin10011000110000100…
…111001101000000000
31221220220002110220200
4103012010321220000
5313442234330220
613230255205200
71324040662200
oct230604715000
957826073820
1020503042560
118771484380
123b82516800
131c19986860
14dc7030400
157eeed5890
hex4c6139a00

20503042560 has 1440 divisors, whose sum is σ = 97805740032. Its totient is φ = 3901685760.

The previous prime is 20503042529. The next prime is 20503042579. The reversal of 20503042560 is 6524030502.

20503042560 is a `hidden beast` number, since 20 + 50 + 30 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161441217 + ... + 161441343.

Almost surely, 220503042560 is an apocalyptic number.

20503042560 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 20503042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48902870016).

20503042560 is an abundant number, since it is smaller than the sum of its proper divisors (77302697472).

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

20503042560 is a wasteful number, since it uses less digits than its factorization.

20503042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 20503042560 in words is "twenty billion, five hundred three million, forty-two thousand, five hundred sixty".