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20570742108004 = 221121726721812
BaseRepresentation
bin1001010110101011111111…
…10001101010111101100100
32200211112200101102122120111
410223111333301222331210
510144012334434424004
6111430022442142404
74222121110630144
oct453257761527544
980745611378514
1020570742108004
116611003707300
1223828b7ab1a04
13b62a7453c6ca
145118b4872924
1525a15b318a04
hex12b57fc6af64

20570742108004 has 243 divisors, whose sum is σ = 42907205597067. Its totient is φ = 8621074598400.

The previous prime is 20570742107983. The next prime is 20570742108017. The reversal of 20570742108004 is 40080124707502.

The square root of 20570742108004 is 4535498.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2898404100900 + 17672338007104 = 1702470^2 + 4203848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113650508794 + ... + 113650508974.

Almost surely, 220570742108004 is an apocalyptic number.

20570742108004 is the 4535498-th square number.

It is an amenable number.

20570742108004 is an abundant number, since it is smaller than the sum of its proper divisors (22336463489063).

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

20570742108004 is a wasteful number, since it uses less digits than its factorization.

20570742108004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 20570742108004 in words is "twenty trillion, five hundred seventy billion, seven hundred forty-two million, one hundred eight thousand, four".