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263285976996 = 2232721926432
BaseRepresentation
bin1111010100110100010…
…0010010111110100100
3221011120212000102021100
43311031010102332210
513303202202230441
6320541340120100
725010320610400
oct3651504227644
9834525012240
10263285976996
11a1728085429
1243039b36030
131ba9b78b943
14ca59140100
156cae409cb6
hex3d4d112fa4

263285976996 has 243 divisors, whose sum is σ = 818350048971. Its totient is φ = 71154544608.

The previous prime is 263285976991. The next prime is 263285977069. The reversal of 263285976996 is 699679582362.

The square root of 263285976996 is 513114.

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

263285976996 is a `hidden beast` number, since 2 + 6 + 3 + 28 + 597 + 6 + 9 + 9 + 6 = 666.

263285976996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (263285976991) by changing a digit.

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, 409464651 + ... + 409465293.

Almost surely, 2263285976996 is an apocalyptic number.

263285976996 is the 513114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263285976996

263285976996 is an abundant number, since it is smaller than the sum of its proper divisors (555064071975).

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

263285976996 is a wasteful number, since it uses less digits than its factorization.

263285976996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 674 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 263285976996 in words is "two hundred sixty-three billion, two hundred eighty-five million, nine hundred seventy-six thousand, nine hundred ninety-six".