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20305927895040 = 211355431011879
BaseRepresentation
bin1001001110111110101111…
…00111100111100000000000
32122220020011000202210200000
410213133113213213200000
510130143020020120130
6111104225310400000
74164024552151134
oct447372747474000
978806130683600
1020305927895040
116519771a16647
12233b512200000
13b43ac1283738
14502b5279d3c4
1525330cb88260
hex1277d79e7800

20305927895040 has 1152 divisors, whose sum is σ = 75460075891200. Its totient is φ = 5233832755200.

The previous prime is 20305927895009. The next prime is 20305927895041. The reversal of 20305927895040 is 4059872950302.

20305927895040 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 59 + 2 + 7 + 89 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20305927895041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10806772821 + ... + 10806774699.

It is an arithmetic number, because the mean of its divisors is an integer number (65503538100).

Almost surely, 220305927895040 is an apocalyptic number.

20305927895040 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 20305927895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730037945600).

20305927895040 is an abundant number, since it is smaller than the sum of its proper divisors (55154147996160).

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

20305927895040 is a wasteful number, since it uses less digits than its factorization.

20305927895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 20305927895040 in words is "twenty trillion, three hundred five billion, nine hundred twenty-seven million, eight hundred ninety-five thousand, forty".