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20466064744704 = 28343771375707
BaseRepresentation
bin1001010011101001000001…
…00001001110000100000000
32200110112111020111122010000
410221310200201032010000
510140304000033312304
6111305551431040000
74211424110004015
oct451644041160400
980415436448100
1020466064744704
116580677aa99a7
122366563810000
13b55c31996797
1450a7c453770c
15257581658939
hex129d2084e100

20466064744704 has 360 divisors, whose sum is σ = 63558378088128. Its totient is φ = 6544137277440.

The previous prime is 20466064744691. The next prime is 20466064744733. The reversal of 20466064744704 is 40744746066402.

20466064744704 is a `hidden beast` number, since 2 + 0 + 46 + 6 + 0 + 64 + 74 + 470 + 4 = 666.

It is a super-2 number, since 2×204660647447042 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54285619 + ... + 54661325.

Almost surely, 220466064744704 is an apocalyptic number.

20466064744704 is a gapful number since it is divisible by the number (24) 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 20466064744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31779189044064).

20466064744704 is an abundant number, since it is smaller than the sum of its proper divisors (43092313343424).

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

20466064744704 is an equidigital number, since it uses as much as digits as its factorization.

20466064744704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375843 (or 375820 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 20466064744704 in words is "twenty trillion, four hundred sixty-six billion, sixty-four million, seven hundred forty-four thousand, seven hundred four".