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20545208896 = 26192232412
BaseRepresentation
bin10011001000100101…
…110000001001000000
31222000211102202020211
4103020211300021000
5314034033141041
613234403043504
71325062252132
oct231045601100
958024382224
1020545208896
118793264593
123b94670594
131c2562b454
14dcc889052
15803a64481
hex4c8970240

20545208896 has 189 divisors, whose sum is σ = 46104052953. Its totient is φ = 9081768960.

The previous prime is 20545208851. The next prime is 20545208911. The reversal of 20545208896 is 69880254502.

It is a happy number.

The square root of 20545208896 is 143336.

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., 989983296 + 19555225600 = 31464^2 + 139840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 501102636 + ... + 501102676.

Almost surely, 220545208896 is an apocalyptic number.

20545208896 is the 143336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20545208896

20545208896 is an abundant number, since it is smaller than the sum of its proper divisors (25558844057).

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

20545208896 is an equidigital number, since it uses as much as digits as its factorization.

20545208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 20545208896 by its sum of digits (49), we get a square (1006715235904 = 10033522).

It can be divided in two parts, 20545 and 208896, that added together give a square (229441 = 4792).

The spelling of 20545208896 in words is "twenty billion, five hundred forty-five million, two hundred eight thousand, eight hundred ninety-six".