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20062346250240 = 21135572179679
BaseRepresentation
bin1001000111111001000010…
…00001011000100000000000
32122000221102101221011200000
410203330201001120200000
510112200141120001430
6110400303054400000
74140312433300200
oct443744101304000
978027371834600
1020062346250240
116435436485688
122300273200000
13b26b42b5a778
144d504657c400
1524bd03593e60
hex123f21058800

20062346250240 has 1728 divisors, whose sum is σ = 88823781446400. Its totient is φ = 4315487404032.

The previous prime is 20062346250139. The next prime is 20062346250263. The reversal of 20062346250240 is 4205264326002.

20062346250240 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 2 + 3 + 4 + 625 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20062346250195 and 20062346250204.

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, 2072765721 + ... + 2072775399.

It is an arithmetic number, because the mean of its divisors is an integer number (51402651300).

Almost surely, 220062346250240 is an apocalyptic number.

20062346250240 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 20062346250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44411890723200).

20062346250240 is an abundant number, since it is smaller than the sum of its proper divisors (68761435196160).

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

20062346250240 is an equidigital number, since it uses as much as digits as its factorization.

20062346250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9752 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20062346250240 in words is "twenty trillion, sixty-two billion, three hundred forty-six million, two hundred fifty thousand, two hundred forty".