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20452535912704 = 287214922712
BaseRepresentation
bin1001010011001111110100…
…01000110100100100000000
32200102020120101121202112011
410221213322020310210000
510140043243143201304
6111255433145142304
74210434622560100
oct451477210644400
980366511552464
1020452535912704
116575965365205
122363a08a8a994
13b54886b8654c
14509c9d86d200
1525703da95c04
hex1299fa234900

20452535912704 has 243 divisors, whose sum is σ = 47988458653401. Its totient is φ = 8674417059840.

The previous prime is 20452535912701. The next prime is 20452535912749. The reversal of 20452535912704 is 40721953525402.

The square root of 20452535912704 is 4522448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2396155394304 + 18056380518400 = 1547952^2 + 4249280^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (20452535912701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75470612089 + ... + 75470612359.

Almost surely, 220452535912704 is an apocalyptic number.

20452535912704 is the 4522448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20452535912704

20452535912704 is an abundant number, since it is smaller than the sum of its proper divisors (27535922740697).

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

20452535912704 is an frugal number, since it uses more digits than its factorization.

20452535912704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

20452535912704 divided by its sum of digits (49) gives a square (417398692096 = 6460642).

The spelling of 20452535912704 in words is "twenty trillion, four hundred fifty-two billion, five hundred thirty-five million, nine hundred twelve thousand, seven hundred four".