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20308120560 = 24325721344279
BaseRepresentation
bin10010111010011101…
…010101001111110000
31221102022022102012100
4102322131111033300
5313042334324220
613155053300400
71316153114400
oct227235251760
957368272170
1020308120560
11868144a612
123b29194700
131bb84899b0
14da91b0800
157dcd30d90
hex4ba7553f0

20308120560 has 360 divisors, whose sum is σ = 85441093920. Its totient is φ = 4284693504.

The previous prime is 20308120517. The next prime is 20308120571. The reversal of 20308120560 is 6502180302.

20308120560 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 81 + 20 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436501 + ... + 480779.

It is an arithmetic number, because the mean of its divisors is an integer number (237336372).

Almost surely, 220308120560 is an apocalyptic number.

20308120560 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 20308120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42720546960).

20308120560 is an abundant number, since it is smaller than the sum of its proper divisors (65132973360).

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

20308120560 is a wasteful number, since it uses less digits than its factorization.

20308120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44325 (or 44309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20308120560 in words is "twenty billion, three hundred eight million, one hundred twenty thousand, five hundred sixty".