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20866775040 = 211335711063
BaseRepresentation
bin10011011011110000…
…011011100000000000
31222212020112000002000
4103123300123200000
5320213343300130
613330331224000
71336045442556
oct233360334000
958766460060
1020866775040
118938828a31
1240642a8000
131c7713a487
14101d473bd6
15821dd3260
hex4dbc1b800

20866775040 has 384 divisors, whose sum is σ = 75290342400. Its totient is φ = 5480939520.

The previous prime is 20866775011. The next prime is 20866775057. The reversal of 20866775040 is 4057766802.

20866775040 is a `hidden beast` number, since 2 + 0 + 86 + 67 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19629549 + ... + 19630611.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 220866775040 is an apocalyptic number.

20866775040 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 20866775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645171200).

20866775040 is an abundant number, since it is smaller than the sum of its proper divisors (54423567360).

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

20866775040 is a wasteful number, since it uses less digits than its factorization.

20866775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20866775040 in words is "twenty billion, eight hundred sixty-six million, seven hundred seventy-five thousand, forty".