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243654780996 = 22381122772
BaseRepresentation
bin1110001011101011110…
…1001110100001000100
3212021220201110100000000
43202322331032201010
512443001110442441
6303533343321300
723413664315664
oct3427275164104
9767821410000
10243654780996
1194373854300
123b27b5b0230
1319c90622133
14bb15c1c1a4
156510c3e2b6
hex38baf4e844

243654780996 has 243 divisors, whose sum is σ = 705535900797. Its totient is φ = 73568230560.

The previous prime is 243654780989. The next prime is 243654781001. The reversal of 243654780996 is 699087456342.

The square root of 243654780996 is 493614.

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

243654780996 is a `hidden beast` number, since 2 + 4 + 3 + 6 + 547 + 80 + 9 + 9 + 6 = 666.

243654780996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41996304900 + 201658476096 = 204930^2 + 449064^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 879620010 + ... + 879620286.

Almost surely, 2243654780996 is an apocalyptic number.

243654780996 is the 493614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243654780996

243654780996 is an abundant number, since it is smaller than the sum of its proper divisors (461881119801).

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

243654780996 is an frugal number, since it uses more digits than its factorization.

243654780996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 243654780996 in words is "two hundred forty-three billion, six hundred fifty-four million, seven hundred eighty thousand, nine hundred ninety-six".