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20666741760 = 21036572113
BaseRepresentation
bin10011001111110101…
…010111010000000000
31222100022010021000000
4103033311113100000
5314311141214020
613254424000000
71331066256300
oct231765272000
958308107000
1020666741760
118845922a75
124009300000
131c44870ca2
141000a83600
1580e56e090
hex4cfd57400

20666741760 has 924 divisors, whose sum is σ = 87230620548. Its totient is φ = 4682022912.

The previous prime is 20666741741. The next prime is 20666741761. The reversal of 20666741760 is 6714766602.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 17703899136 = 54432^2 + 133056^2 .

It is a super-2 number, since 2×206667417602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20666741761) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 182891464 + ... + 182891576.

Almost surely, 220666741760 is an apocalyptic number.

20666741760 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 20666741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43615310274).

20666741760 is an abundant number, since it is smaller than the sum of its proper divisors (66563878788).

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

20666741760 is an equidigital number, since it uses as much as digits as its factorization.

20666741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20666741760 in words is "twenty billion, six hundred sixty-six million, seven hundred forty-one thousand, seven hundred sixty".